The number of different lineups that are possible can be calculated using the combination formula:
nCr = n! / r!(n-r)!
Where n is the total number of songs (14) and r is the number of songs to be selected (4).
14C4 = 14! / 4!(14-4)!
14C4 = 14! / 4!10!
14C4 = (14 x 13 x 12 x 11) / 4 x 3 x 2 x 1
14C4 = 43,680 / 24
14C4 = 1,820
Therefore, there are 1,820 different possible lineups that can be composed from the list of 14 songs.
A coordinator will select 4
songs from a list of 14
songs to compose an event's musical entertainment lineup. How many different lineups are possible?
1 answer
1 answer