8. How many ways are there for four men and seven women to stand in a line so that (a) All men stand together and all women stand together? (b) All men stand together? (c) All women stand together? (d) All men stand together or all women stand together?

Q: What does 6!2! 4!3! equal?

A: Using factorial formula:n! = n* [n-1] *[n-2] ------6! = 6*[6-1] * [6-2] * [6-3]* [6-4]* [6*5]     =…

Q: There were 77 athletes at the annual sports banquet who played on either the football team or the…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Busi's dog gives birth a litter of six puppies, of which 3 are female and 3 are male. Busi wants to…

A:

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: A class has 32 students.  18 have hats, and 17 do not wear glasses.  5 students wear glasses but do…

A: We use ven diagram to solve this problem.

Q: How many ways can 5 friends sit in a row at the movie theatre if Darren and Dave are in an argument…

A: If there is no restrictions then 5 friends can arrange in 5!=120 ways among themselves. If Dave and…

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: twenty tickets are entered into a raffle. 1st prize receives $100;2nd prize receives $25;3rd prize…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A math instructor has 46 calculators in her office. Of them, 22 have dead batteries, 28 have cracked…

A:

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

Q: If n(A) = 104, n(A ∪ B) = 140, and n(A ∩ B) = 46, find n(B).

A: n(A) = 104 n(A ∪ B) = 140 n(A ∩ B) = 46

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

Q: Martha invited 4 friends to go with her to the movies. There are 120 different ways in which they…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In a 36-minute gym period, 24 boys want to play basketball. If only 10 can play at the same time,…

A: In this question we have to find how many minutes each boy play.

Q: n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 47, find n(B)

A: