A disc jockey​ (DJ) has 11 songs to play. Six are slow​ songs, and 5 are fast songs. Each song is to be played only once. ​ a) In how many ways can the DJ play the 11 songs if the songs can be played in any​ order? ​b) In how many ways can the DJ play the 11 songs if the first song must be a slow song and the last song must be a slow​ song? ​c) In how many ways can the DJ play the 11 songs if the first two songs must be fast​ songs?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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A disc jockey​ (DJ) has 11 songs to play. Six are slow​ songs, and 5 are fast songs. Each song is to be played only once. ​

a) In how many ways can the DJ play the 11 songs if the songs can be played in any​ order?

​b) In how many ways can the DJ play the 11 songs if the first song must be a slow song and the last song must be a slow​ song?

​c) In how many ways can the DJ play the 11 songs if the first two songs must be fast​ songs?

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