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?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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