Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C.(a) How many ways can this be done, if the order of the choices is relevant?0(b) How many ways can this be done, if the order of the choices is not relevant?0Check47°FSunnyHD-10800a27atterⒸ2022 McGraw Hill LLC. All Rights ReservWSW I F11 1X3XP

given data we haveto find out the number of ways for the given data we want to choose 2 letters from…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. A student is to answer 10 out of 13 questions. Find the number of choices where the student must answer: (a) the first three questions. (b) first or second question but not both. (c) exactly 2 out of first 5 questions. (d) at least 4 out of the first 6 questions.
A grocery store is placing an order for dairy products. There are 8 varieties of dairy products sold in cases, where each case contains all the same variety of dairy products. The store will order 50 cases in total. (a) How many ways are there to place the order? (b) One of the varieties of dairy products is Milk. How many ways are there to place the order if they order at most 20 cases of Milk?
d. [Permutation] Solve the following problems - Find the number of words that can be formed by using the letters of the word "DEMOCRACY" where first letter will be always C and last letter will be R. e. [Combination] A group of 15 students is to be formed from 44 students of MATI00 Course. Among the students of the course there is 2 renowned batsmen, 3 spinners, 2 fast blowlers and 2 wicketkeepers. How many different ways this can be done so as always to (i) include 1 renowned batsman, 1 fast bowler, 1 spinner and 1 wicketkeeper; and (ii) exclude spinners? 2.
Exercise 7.2 The reaction times for a random sample of 9 subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9. 2.3, 2.6, 4.1, and 3.4 seconds. Find a. the range b. the standard deviation c. the variance.
A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?
Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple. How many ways can this be done, if the order of the choices does not matter? How many ways can this be done, if the order of the choices does matter?
. Suppose you are working on a ten-digit keypad to open a door. You know the combination is exactly three digits long.1. How many choices are there if you may use a number multiple times and the order matters?2. How many choices are there if you may not use a number multiple times and the order matters?3. How many choices are there if you may not use a number multiple times and the order doesnot matter?4. How many choices are there if you may use a number multiple times and the order does notmatter?
A quiz contains 10 questions. There are four possible answers for each question.(a) In how many ways can a student answer the questions on the test if the student answersevery question? (b) In how many ways can a student answer the questions on the test if the student canleave answers blank?
Alex wishes to pack 8 of his 15 shirts on a trip.( All the shirts are different). He does not wish to pack all 3 of his white shirts nor to pack all 3 of his red shirt. ( This means he has 9 shirts that are neither white nor red) how many ways does he have to pack 8 shirts given these two restrictions?

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Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How many ways can this be done, if the order of the choices is relevant? 0 (b) How many ways can this be done, if the order of the choices is not relevant?