Question

A coordinator will select 6 songs from a list of 6 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

Answer 1

Solution:

Number of ways of arranging k objects after selecting it from n objects is given by,



P(n,k) is a permutation function which means number of permutations of n objects taken k at a time.

We have to arrange 6 songs after selecting it from total 6 songs.

i.e. we have, n = 6 and k = 6

( since, n! = n(n - 1)(n - 2)..............1 and 0! = 1)

Hence, 720 different lineups are possible.

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