1. Tina's music library has 91 rock songs and 54 pop songs. She is putting together a playlist of 25 songs. (a) In how many different ways can she choose the 25 songs for her playlist? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need to simplify your answer. (b) In how many different ways can she choose the 25 songs for her playlist if she wants 15 rock and 10 pop songs? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need to simplify your answer.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 92E
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1. Tina's music library has 91 rock songs and 54 pop songs. She is putting together a playlist of 25 songs.
(a) In how many different ways can she choose the 25 songs for her playlist? (NOTE: We are not concerned
with where each song appears in the playlist.) You do not need to simplify your answer.
(b) In how many different ways can she choose the 25 songs for her playlist if she wants 15 rock and 10 pop
songs? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need
to simplify your answer.
Transcribed Image Text:1. Tina's music library has 91 rock songs and 54 pop songs. She is putting together a playlist of 25 songs. (a) In how many different ways can she choose the 25 songs for her playlist? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need to simplify your answer. (b) In how many different ways can she choose the 25 songs for her playlist if she wants 15 rock and 10 pop songs? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need to simplify your answer.
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