Explanation Given information: Given, word is "garnish" and the last letter is a vowel Calculation: Divide the experiment into two parts Arranging the last letter Arranging the remaining letters The vowels present in the word "garnish" are a,i. Since the last letter is a vowel, the number of possible outcomes of the first part is m = 2 The number of arrangements or permutations of n distinct times chosen r at a time is given by P n r All the letters of the given word "garnish" are distinct. As the last letter is already arranged, the remaining letters that are to be arranged are 6 So for arranging the remaining letters of the word, permutation of 6 letters chosen 6 at a time is required. Here n = 6 , r = 6 Plugging the values in the equation, P n r = P 6 6 P n r = 6 ! ( 6 − 6 ) ! (Since P n r = n ! ( n − r ) !

1st Edition

ISBN: 9780134654409

Author: Martin-Gay, K. Elayn, 1955-

Publisher: Pearson,

See similar textbooks

Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Videos

Question

Chapter 7.2, Problem 48ES

To determine

To determine the number of ways the letters of the word "garnish" can be arranged if the last letter is a vowel.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 7.2, Problem 47ES

Chapter 7.2, Problem 49ES

Students have asked these similar questions

Find the area of the figure. A = 4 m 11 m 13 m 5 m

Find the exact values of sin(2u), cos(2u), and tan(2u) given 2 COS u where д < u < π. 2

(1) Let R be a field of real numbers and X=R³, X is a vector space over R, let M={(a,b,c)/ a,b,cE R,a+b=3-c}, show that whether M is a hyperplane of X or not (not by definition). متکاری Xn-XKE 11Xn- Xmit (2) Show that every converge sequence in a normed space is Cauchy sequence but the converse need not to be true. EK 2x7 (3) Write the definition of continuous map between two normed spaces and write with prove the equivalent statement to definition. (4) Let be a subset of a normed space X over a field F, show that A is bounded set iff for any sequence in A and any sequence in F converge to zero the sequence converge to zero in F. އ

Chapter 7 Solutions

Path To College Mathematics

Ch. 7.1 - Prob. 1ES Ch. 7.1 - Prob. 2ES Ch. 7.1 - Prob. 3ES Ch. 7.1 - Prob. 4ES Ch. 7.1 - Prob. 5ES Ch. 7.1 - Prob. 6ES Ch. 7.1 - Prob. 7ES Ch. 7.1 - Prob. 8ES Ch. 7.1 - Prob. 9ES Ch. 7.1 - Prob. 10ES

Ch. 7.1 - Prob. 11ES Ch. 7.1 - Prob. 12ES Ch. 7.1 - Prob. 13ES Ch. 7.1 - Prob. 14ES Ch. 7.1 - Prob. 15ES Ch. 7.1 - Prob. 16ES Ch. 7.1 - Prob. 17ES Ch. 7.1 - Prob. 18ES Ch. 7.1 - Prob. 19ES Ch. 7.1 - Suppose a 6-sided die is tossed twice. (This is a...Ch. 7.1 - Prob. 21ES Ch. 7.1 - Prob. 22ES Ch. 7.1 - Prob. 23ES Ch. 7.1 - Prob. 24ES Ch. 7.1 - Solve. Current license plates in California now...Ch. 7.1 - Prob. 26ES Ch. 7.1 - Although there are exceptions, the call signs for...Ch. 7.1 - Prob. 28ES Ch. 7.1 - Prob. 29ES Ch. 7.1 - Prob. 30ES Ch. 7.1 - Prob. 31ES Ch. 7.1 - Prob. 32ES Ch. 7.1 - Prob. 33ES Ch. 7.1 - Prob. 34ES Ch. 7.1 - Prob. 35ES Ch. 7.1 - Prob. 36ES Ch. 7.1 - Prob. 37ES Ch. 7.1 - Prob. 38ES Ch. 7.1 - Prob. 39ES Ch. 7.1 - Prob. 40ES Ch. 7.1 - Prob. 41ES Ch. 7.1 - For security purpose, a company is starting to...Ch. 7.2 - Prob. 1ES Ch. 7.2 - Prob. 2ES Ch. 7.2 - Prob. 3ES Ch. 7.2 - Prob. 4ES Ch. 7.2 - Prob. 5ES Ch. 7.2 - Prob. 6ES Ch. 7.2 - Prob. 7ES Ch. 7.2 - Prob. 8ES Ch. 7.2 - Prob. 9ES Ch. 7.2 - Prob. 10ES Ch. 7.2 - Prob. 11ES Ch. 7.2 - Prob. 12ES Ch. 7.2 - Prob. 13ES Ch. 7.2 - Prob. 14ES Ch. 7.2 - Prob. 15ES Ch. 7.2 - Prob. 16ES Ch. 7.2 - Prob. 17ES Ch. 7.2 - Prob. 18ES Ch. 7.2 - Prob. 19ES Ch. 7.2 - Prob. 20ES Ch. 7.2 - Prob. 21ES Ch. 7.2 - Prob. 22ES Ch. 7.2 - Prob. 23ES Ch. 7.2 - Prob. 24ES Ch. 7.2 - Prob. 25ES Ch. 7.2 - Prob. 26ES Ch. 7.2 - Prob. 27ES Ch. 7.2 - Prob. 28ES Ch. 7.2 - Prob. 29ES Ch. 7.2 - Prob. 30ES Ch. 7.2 - Prob. 31ES Ch. 7.2 - Prob. 32ES Ch. 7.2 - Prob. 33ES Ch. 7.2 - Prob. 34ES Ch. 7.2 - Prob. 35ES Ch. 7.2 - Prob. 36ES Ch. 7.2 - Prob. 37ES Ch. 7.2 - Prob. 38ES Ch. 7.2 - Prob. 39ES Ch. 7.2 - Prob. 40ES Ch. 7.2 - Solve. Some of these exercises may be solved using...Ch. 7.2 - Prob. 42ES Ch. 7.2 - Prob. 43ES Ch. 7.2 - Prob. 44ES Ch. 7.2 - Prob. 45ES Ch. 7.2 - Prob. 46ES Ch. 7.2 - Prob. 47ES Ch. 7.2 - Prob. 48ES Ch. 7.2 - Prob. 49ES Ch. 7.2 - Prob. 50ES Ch. 7.2 - Prob. 51ES Ch. 7.2 - Prob. 52ES Ch. 7.2 - Prob. 53ES Ch. 7.2 - Prob. 54ES Ch. 7.2 - Prob. 55ES Ch. 7.2 - Prob. 56ES Ch. 7.2 - Prob. 57ES Ch. 7.2 - Prob. 58ES Ch. 7.2 - Prob. 59ES Ch. 7.2 - Prob. 60ES Ch. 7.2 - Is it possible to evaluate P65 Explain why or why...Ch. 7.2 - Prob. 62ES Ch. 7.2 - Prob. 63ES Ch. 7.2 - Prob. 64ES Ch. 7.2 - Explain why P55 can be calculated but is not...Ch. 7.2 - Prob. 66ES Ch. 7.2 - Prob. 67ES Ch. 7.2 - Prob. 68ES Ch. 7.3 - Prob. 1ES Ch. 7.3 - Evaluate each combination. See Examples 2 through...Ch. 7.3 - Prob. 3ES Ch. 7.3 - Prob. 4ES Ch. 7.3 - Prob. 5ES Ch. 7.3 - Prob. 6ES Ch. 7.3 - Prob. 7ES Ch. 7.3 - Prob. 8ES Ch. 7.3 - Prob. 9ES Ch. 7.3 - Prob. 10ES Ch. 7.3 - Prob. 11ES Ch. 7.3 - Prob. 12ES Ch. 7.3 - Prob. 13ES Ch. 7.3 - Prob. 14ES Ch. 7.3 - Prob. 15ES Ch. 7.3 - Prob. 16ES Ch. 7.3 - Prob. 17ES Ch. 7.3 - Prob. 18ES Ch. 7.3 - Prob. 19ES Ch. 7.3 - Prob. 20ES Ch. 7.3 - Prob. 21ES Ch. 7.3 - Prob. 22ES Ch. 7.3 - Prob. 23ES Ch. 7.3 - Prob. 24ES Ch. 7.3 - Prob. 25ES Ch. 7.3 - Prob. 26ES Ch. 7.3 - Prob. 27ES Ch. 7.3 - Prob. 28ES Ch. 7.3 - Prob. 29ES Ch. 7.3 - Prob. 30ES Ch. 7.3 - Prob. 31ES Ch. 7.3 - Prob. 32ES Ch. 7.3 - Prob. 33ES Ch. 7.3 - Prob. 34ES Ch. 7.3 - Prob. 35ES Ch. 7.3 - Prob. 36ES Ch. 7.3 - Prob. 37ES Ch. 7.3 - Prob. 38ES Ch. 7.3 - Prob. 39ES Ch. 7.3 - Prob. 40ES Ch. 7.3 - Prob. 41ES Ch. 7.3 - Prob. 42ES Ch. 7.3 - Prob. 43ES Ch. 7.3 - Prob. 44ES Ch. 7.3 - Prob. 45ES Ch. 7.3 - Prob. 46ES Ch. 7.3 - Prob. 47ES Ch. 7.3 - Prob. 48ES Ch. 7.3 - Prob. 49ES Ch. 7.3 - Prob. 50ES Ch. 7.3 - Prob. 51ES Ch. 7.3 - Prob. 52ES Ch. 7.3 - Prob. 53ES Ch. 7.3 - Prob. 54ES Ch. 7.3 - Prob. 55ES Ch. 7.3 - Prob. 56ES Ch. 7.3 - Prob. 57ES Ch. 7.3 - Prob. 58ES Ch. 7.3 - Prob. 59ES Ch. 7.3 - Prob. 60ES Ch. 7.3 - Prob. 61ES Ch. 7.3 - Prob. 62ES Ch. 7.3 - Prob. 63ES Ch. 7.3 - Prob. 64ES Ch. 7.3 - Prob. 65ES Ch. 7.3 - Prob. 66ES Ch. 7.3 - Prob. 67ES Ch. 7.3 - Prob. 1IR Ch. 7.3 - Prob. 2IR Ch. 7.3 - Prob. 3IR Ch. 7.3 - Prob. 4IR Ch. 7.3 - Prob. 5IR Ch. 7.3 - Prob. 6IR Ch. 7.3 - Prob. 7IR Ch. 7.3 - Prob. 8IR Ch. 7.3 - Prob. 9IR Ch. 7.3 - Prob. 10IR Ch. 7.3 - Prob. 11IR Ch. 7.3 - Prob. 12IR Ch. 7.3 - Prob. 13IR Ch. 7.3 - Prob. 14IR Ch. 7.3 - Prob. 15IR Ch. 7.4 - Prob. 1ES Ch. 7.4 - Prob. 2ES Ch. 7.4 - Prob. 3ES Ch. 7.4 - Prob. 4ES Ch. 7.4 - Prob. 5ES Ch. 7.4 - Prob. 6ES Ch. 7.4 - Prob. 7ES Ch. 7.4 - Prob. 8ES Ch. 7.4 - Prob. 9ES Ch. 7.4 - Prob. 10ES Ch. 7.4 - Prob. 11ES Ch. 7.4 - Prob. 12ES Ch. 7.4 - Prob. 13ES Ch. 7.4 - Prob. 14ES Ch. 7.4 - Prob. 15ES Ch. 7.4 - Prob. 16ES Ch. 7.4 - Prob. 17ES Ch. 7.4 - Prob. 18ES Ch. 7.4 - Prob. 19ES Ch. 7.4 - Prob. 20ES Ch. 7.4 - Prob. 21ES Ch. 7.4 - Prob. 22ES Ch. 7.4 - Prob. 23ES Ch. 7.4 - Prob. 24ES Ch. 7.4 - Prob. 25ES Ch. 7.4 - Prob. 26ES Ch. 7.4 - Prob. 27ES Ch. 7.4 - Prob. 28ES Ch. 7.4 - Prob. 29ES Ch. 7.4 - Prob. 30ES Ch. 7.4 - Prob. 31ES Ch. 7.4 - Prob. 32ES Ch. 7.4 - Prob. 33ES Ch. 7.4 - Prob. 34ES Ch. 7.4 - Prob. 35ES Ch. 7.4 - Prob. 36ES Ch. 7.4 - Prob. 37ES Ch. 7.4 - Prob. 38ES Ch. 7.4 - Prob. 39ES Ch. 7.4 - Prob. 40ES Ch. 7.4 - Prob. 41ES Ch. 7.4 - Prob. 42ES Ch. 7.4 - Prob. 43ES Ch. 7.4 - Prob. 44ES Ch. 7.4 - Prob. 45ES Ch. 7.4 - Prob. 46ES Ch. 7.4 - Prob. 47ES Ch. 7.4 - Prob. 48ES Ch. 7.4 - Prob. 49ES Ch. 7.4 - Prob. 50ES Ch. 7.4 - Prob. 51ES Ch. 7.4 - Prob. 52ES Ch. 7.4 - Prob. 53ES Ch. 7.4 - Prob. 54ES Ch. 7.4 - Prob. 55ES Ch. 7.4 - Prob. 56ES Ch. 7.4 - Prob. 57ES Ch. 7.4 - Prob. 58ES Ch. 7.4 - Prob. 59ES Ch. 7.4 - Prob. 60ES Ch. 7.4 - Prob. 61ES Ch. 7.4 - Prob. 62ES Ch. 7.4 - Prob. 63ES Ch. 7.4 - Prob. 64ES Ch. 7.4 - Prob. 65ES Ch. 7.4 - Prob. 66ES Ch. 7.4 - Prob. 67ES Ch. 7.4 - Prob. 68ES Ch. 7.4 - Prob. 69ES Ch. 7.4 - Prob. 70ES Ch. 7.4 - Prob. 71ES Ch. 7.4 - Prob. 72ES Ch. 7.4 - Prob. 73ES Ch. 7 - Prob. 1VC Ch. 7 - Prob. 2VC Ch. 7 - Prob. 3VC Ch. 7 - Prob. 4VC Ch. 7 - Prob. 5VC Ch. 7 - Prob. 6VC Ch. 7 - Prob. 7VC Ch. 7 - Prob. 8VC Ch. 7 - Prob. 9VC Ch. 7 - Prob. 10VC Ch. 7 - Prob. 11VC Ch. 7 - Prob. 12VC Ch. 7 - Prob. 13VC Ch. 7 - Prob. 14VC Ch. 7 - Prob. 15VC Ch. 7 - Prob. 16VC Ch. 7 - Prob. 17VC Ch. 7 - Prob. 18VC Ch. 7 - Prob. 19VC Ch. 7 - Prob. 20VC Ch. 7 - Prob. 21VC Ch. 7 - Prob. 1R Ch. 7 - Draw a tree diagram for each experiment. Then use...Ch. 7 - Prob. 3R Ch. 7 - Prob. 4R Ch. 7 - Prob. 5R Ch. 7 - Prob. 6R Ch. 7 - Prob. 7R Ch. 7 - Prob. 8R Ch. 7 - Prob. 9R Ch. 7 - Prob. 10R Ch. 7 - Prob. 11R Ch. 7 - Prob. 12R Ch. 7 - Prob. 13R Ch. 7 - Prob. 14R Ch. 7 - Prob. 15R Ch. 7 - Prob. 16R Ch. 7 - Prob. 17R Ch. 7 - Prob. 18R Ch. 7 - Prob. 19R Ch. 7 - Prob. 20R Ch. 7 - Prob. 21R Ch. 7 - Prob. 22R Ch. 7 - Prob. 23R Ch. 7 - Prob. 24R Ch. 7 - Prob. 25R Ch. 7 - Prob. 26R Ch. 7 - Prob. 27R Ch. 7 - Prob. 28R Ch. 7 - Prob. 29R Ch. 7 - Prob. 30R Ch. 7 - Prob. 31R Ch. 7 - Prob. 32R Ch. 7 - Prob. 33R Ch. 7 - Prob. 34R Ch. 7 - Prob. 35R Ch. 7 - Prob. 36R Ch. 7 - Prob. 37R Ch. 7 - Prob. 38R Ch. 7 - Prob. 39R Ch. 7 - Prob. 40R Ch. 7 - Prob. 41R Ch. 7 - Prob. 42R Ch. 7 - Prob. 43R Ch. 7 - Prob. 44R Ch. 7 - Prob. 45R Ch. 7 - Prob. 46R Ch. 7 - Prob. 47R Ch. 7 - Prob. 48R Ch. 7 - Prob. 49R Ch. 7 - Prob. 50R Ch. 7 - Prob. 51R Ch. 7 - Prob. 52R Ch. 7 - Prob. 53R Ch. 7 - Prob. 54R Ch. 7 - Prob. 55R Ch. 7 - Prob. 56R Ch. 7 - Prob. 57R Ch. 7 - Prob. 58R Ch. 7 - Prob. 59R Ch. 7 - Prob. 60R Ch. 7 - Prob. 61R Ch. 7 - Prob. 62R Ch. 7 - Prob. 63R Ch. 7 - Prob. 64R Ch. 7 - Prob. 65R Ch. 7 - Prob. 66R Ch. 7 - Prob. 67R Ch. 7 - Prob. 68R Ch. 7 - Prob. 69R Ch. 7 - Prob. 70R Ch. 7 - Prob. 71R Ch. 7 - Prob. 72R Ch. 7 - Prob. 73R Ch. 7 - Prob. 74R Ch. 7 - Prob. 1GRFT Ch. 7 - Prob. 2GRFT Ch. 7 - Prob. 3GRFT Ch. 7 - Prob. 4GRFT Ch. 7 - Prob. 5GRFT Ch. 7 - Prob. 6GRFT Ch. 7 - Prob. 7GRFT Ch. 7 - Prob. 8GRFT Ch. 7 - Prob. 9GRFT Ch. 7 - Prob. 10GRFT Ch. 7 - Prob. 11GRFT Ch. 7 - Prob. 12GRFT Ch. 7 - Prob. 13GRFT Ch. 7 - Prob. 14GRFT Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Prob. 9T Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T Ch. 7 - Prob. 17T Ch. 7 - Prob. 18T Ch. 7 - Prob. 19T Ch. 7 - Prob. 20T Ch. 7 - Prob. 21T Ch. 7 - Prob. 22T Ch. 7 - Prob. 23T Ch. 7 - Prob. 24T Ch. 7 - Prob. 25T Ch. 7 - Prob. 26T Ch. 7 - Prob. 27T Ch. 7 - Prob. 28T Ch. 7 - Prob. 29T Ch. 7 - Prob. 30T Ch. 7 - Prob. 31T Ch. 7 - Prob. 1CR Ch. 7 - Prob. 2CR Ch. 7 - Prob. 3CR Ch. 7 - Prob. 4CR Ch. 7 - Prob. 5CR Ch. 7 - Prob. 6CR Ch. 7 - Prob. 7CR Ch. 7 - Prob. 8CR Ch. 7 - Prob. 9CR Ch. 7 - Prob. 10CR Ch. 7 - Prob. 11CR Ch. 7 - Prob. 12CR Ch. 7 - Prob. 13CR Ch. 7 - Prob. 14CR Ch. 7 - Prob. 15CR Ch. 7 - Prob. 16CR Ch. 7 - Prob. 17CR Ch. 7 - Prob. 18CR Ch. 7 - The Swiss Re Building, in London, is a unique...Ch. 7 - Prob. 20CR Ch. 7 - Prob. 21CR Ch. 7 - Prob. 22CR Ch. 7 - Prob. 23CR Ch. 7 - Prob. 24CR Ch. 7 - Prob. 25CR Ch. 7 - Prob. 26CR Ch. 7 - Prob. 27CR Ch. 7 - Prob. 28CR Ch. 7 - Prob. 29CR Ch. 7 - Prob. 30CR Ch. 7 - Prob. 31CR Ch. 7 - Prob. 32CR

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

the number of ways the letters of the word "garnish" can be arranged if the last letter is a vowel.

Solution Summary: The author explains how to determine the number of ways the letters of the word "garnish" can be arranged if the last letter is a vowel.

Concept explainers

Videos

To determine the number of ways the letters of the word "garnish" can be arranged if the last letter is a vowel.

Want to see the full answer?

Chapter 7 Solutions