A disc jockey (DJ) has 11 songs to play. Five are slow songs, and 6 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) If the songs can be played in any order, the DJ can play the 11 songs in different ways. (Type a whole number.) b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 11 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 11 songs in different ways. (Type a whole number.)
A disc jockey (DJ) has 11 songs to play. Five are slow songs, and 6 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) If the songs can be played in any order, the DJ can play the 11 songs in different ways. (Type a whole number.) b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 11 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 11 songs in different ways. (Type a whole number.)
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:A disc jockey (DJ) has 11 songs to play. Five are slow songs, and 6 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) If the songs can be played in any order, the DJ can play the 11 songs in
different ways.
(Type a whole number.)
b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 11 songs in
different ways.
(Type a whole number.)
c) If the first two songs must be fast songs, the DJ can play the 11 songs in
different ways.
(Type a whole number.)
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