How can we find out how many 6 digit numbers are there if not allowed and how many 5 element subsets does a,b,c,d,e,f,g,h,i,j have? 1. How many lists of length 3 can be made from the letters U, V, W, X, Y, Z if repetitions areallowed?6x6 x 6 = 2162. How many lists of length 3 can be made from the letters U, V, W, X, Y, Z if repetitions arenot allowed?6x5x4120=3. How many lists of length 3 can be made from the letters U, V, W, X, Y, Z if repetitions arenot allowed, and each list has a W or U in the second entry?5 хоха405. Compute the following:(a) 6!720Section:4. How many 6-digit numbers (using 1,2,3,...,9) are there if repetition is not allowed? Howmany are there which have at least one digit repeated?-10-9:1:2110!(b)7!(c) (12)6. How many 5-element subsets does the set {A, B, C, D, E, F, G, H, I, J} have?10.9.8 = 120 = 7207. Write the expansion of (a + b²)4.94 +4a³b² +6ab4+4ab6+b88. What is the coefficient of r6 in (x+3)7?*The examples, section numbers are from Richard Hammack's "Book of Proof".

As in the text, two Que 4 and 6 are asked t solve. We shall answer one Que only eg 4• it has also…

Answered: 4. How many 6-digit numbers (using…

4. How many 6-digit numbers (using 1,2,3, ... ,9) are there if repetition is not allowed? How many are there which have at least one digit repeated?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method. We can select 5 women…

Q: Exercise: Let B = 2 4 -3 -6 2 7 4 2 -1 -3 -3 1 -3 1 EEEE -1 -2 2 4 2 -2 1 0 30 020 -2 -5 4 2 7 02…

Q: In a certain country, area codes have four digits and are subject to the following restrictions. The…

Q: How many permutations can be made out of the letters BOOKKEEPER?

A: From the given information, Number of letters in BOOKKEEPER = 10 There is 1 B, 2 O's, 2 K's, 3 E's,…

Q: How many ways can 12 knights be arranged around a roundtable?

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there. How many ways can president, vice president, secretary, and treasurer be…

Q: I have 8 different rings that I wear. How many different groups of 3 rings do I have to choose from?

A: the question is choosing 3 out of 8 and order doesn't matter So we going to use combination a…

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

Q: . There are 122 ways to send 5 different gift boxes into 3 indistinguishable houses (each house can…

A: To determine whether the given statement is true or false.

Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7…

A: Hi, thanks for posting the question. Since there is more than one question posted. We will answer…

Q: Passwords can have 7 characters. Each character can be an uppercase or lowercase letter, a digit…

A: (a) If any character can be used in any position we have 26 uppercase letters 26 lowercase letters…

Q: How many different ways are there of choosing four cards from a standard 52-card deck and arranging…

Q: how many subsets does {8,9,10,11,12,14,15,16} have?

A: Using

Q: How many ways can a committee of 6 be selected from a club with 10 members?

A: The formula to calculate the number of ways to select b peoples from a total of a peoples is given…

Q: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Q: How many ways can a committee of 4 be selected from a club with 22 members?

A: It is an important part of statistics. It is widely used.

Q: there to select 11 countries in the United Nations to s e selected from the remaining 62 countries?

A: To find: Number of ways to select 11 countries in the united nation to serve on council.

Q: A car manufacturer offers a certain make of a car with 3 exterior colors, 5 interior colors, and 5…

Q: A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club…

A: The total members in the club is 11. Of them, 7 are men and 4 are women. The main objective is to…

Q: can you help me find the answer

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: There are 16 teams in each conference in professional football, and 6 make the playoffs each year.…

A: The number of teams (n) is 16 and the number of playoffs for each year (r) is 6.

Q: How many different four-letter "words" can be formed from the alphabet ABCD

Question

How can we find out how many 6 digit numbers are there if not allowed and how many 5 element subsets does a,b,c,d,e,f,g,h,i,j have?

1. How many lists of length 3 can be made from the letters U, V, W, X, Y, Z if repetitions are
allowed?
6x6 x 6 = 216
2. How many lists of length 3 can be made from the letters U, V, W, X, Y, Z if repetitions are
not allowed?
6x5x4
120
=
3. How many lists of length 3 can be made from the letters U, V, W, X, Y, Z if repetitions are
not allowed, and each list has a W or U in the second entry?
5 хоха
40
5. Compute the following:
(a) 6!
720
Section:
4. How many 6-digit numbers (using 1,2,3,...,9) are there if repetition is not allowed? How
many are there which have at least one digit repeated?
-
10-9:1:21
10!
(b)
7!
(c) (12)
6. How many 5-element subsets does the set {A, B, C, D, E, F, G, H, I, J} have?
10.9.8 = 120 = 720
7. Write the expansion of (a + b²)4.
94 +4a³b² +6ab4+4ab6+b8
8. What is the coefficient of r6 in (x+3)7?
*The examples, section numbers are from Richard Hammack's "Book of Proof".

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

How many ways are there to pick a subset of four different letters from the 26-letter alphabet?
5) How many 2 letter combinations can be made from the letter set?: HANDY
9 athletes are to take part in a race. In how many ways can the first 5 places be filled?
How many di erent arrangements are there of the letters A, B, C, D, E, and F for which E is not the last letter?
How many ways can a committee of 4 be selected from a club with 10 members?
In how many ways cana committee consisting of 3 men and 2 women be chosen from seven men and five women?