Question

Ruthie is trying to choose what reading material she wants to take on a vacation. She wants to read 1 fiction book, 1 nonfiction book, and 3 magazines. If Ruthie has 8 fiction books, 7 nonfiction books, and 3 magazines to choose from, how many possible combinations of books and magazines could she take with her.

E. 3 F.8 G.56 H.112

Answer 1

The number of possible combinations would be 56.

What is permutation?

Permutation is the changing of the order in which things have been arranged or the arranging of things in a certain order.

Analysis:

Total number of fiction books available = 8

number of fiction books Ruthie wants = 1

Number of combination for Ruthie = 8C1 = 8 ways

Total number of non fiction books available = 7

number of non fiction books needed by Ruthie = 1

possible combination = 7C1 = 7 ways

Total number of magazines available = 3 ways.

Total possible combinations for all the Reading materials = 8 x 7 x 1 = 56 ways.

number of magazines Ruthie wants = 3C3 = 1 way

In conclusion, the number of possible combinations of The reading materials is 56.

Learn more about Permutation: brainly.com/question/1216161

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