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A coordinator will select 44 songs from a list of 10 songs to compose an event's...

A coordinator will select 44 songs from a list of 10 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

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Answer #1

A coordinator will select 44 songs from a list of 10 songs. That is the line up queue contains 44 songs. and those songs are are selected from a list of 10 songs.

Thus, 44 blanks can be filled by 10 items only. Here, 2 lineups having same items but different order will treat as different lineup. Therefore this is nothing but a permutation.  

Thus, Number of possible different lineups =

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