3.) DJ: A disc jockey has 9 songs to play. Five are slow songs, and 4 are fast songs. Each song is to be played only once. In how many ways can the DJ play the 9 songs if a.) The songs can be played in any order? b.) The first song must be a slow song and the last song must be a slow song? c.) The first two songs must be fast songs?

Q: If n(A) = 59, n(B) = 21, and n(A ∩ B) = 4, find n(A ∪ B).

A:

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

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A: Given data

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

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A:

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

A:

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

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A:

Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A: a. b. c.

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: Willy Wonka gives everyone who visits his factory 11 pieces of candy to take home. He never gives a…

A: To find the total number of ways Willy Wonka can distribute candy to visitors without repeating the…

Q: n(A) = 64, n(B) = 23, and n(A ∩ B) = 5, find n(A ∪ B

A: We will solve the set question.

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 69, find n(A ∩ B).

A: Given, n(A ∪ B) = 99 and n(A) = n(B) = 69   The objective is to find  n(A ∩ B).

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: a. How many ways can the letters of the word BECOMING be arranged in a row? b. How many ways can the…

A:

Q: If  n(A) = 66, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Givenn(A)=66n(B)=16n(A∩B)=4

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: If  n(A) = 69, n(B) = 23, and n(A ∩ B) = 3, find n(A ∪ B).

A:

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: You can choose from 25 flavours of ice cream and have enough money to get exactly 3 scoops. How many…

A: We need to find out the number of ways for the following.

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A: