Combinations: How many ways can a disc jockey play ten songs?
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A disc jockey has 10 songs to play. Seven are slow songs, and three are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 10 songs if:
- The songs can be played in any order.
- The first song must be a slow song and the last song must be a slow song.
- The first two songs must be fast songs.
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Solution Summary
This solution shows how to compute the combinations for the songs. Combinations are examined.
Solution Preview
a) If the songs can be played in any order, then there are 10! = 3,628,800 different ways of playing 10 songs.
b) If the first song must be a slow song and the last song must be a ...
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