Question

The local festival of Knowledge at NCPA is hosting music bands. Metallica, Menudo, AC DC, One Direction, Nirvana, and Selena y Los Dinos are all ready to perform at the festival of knowledge. Only 4 bands can play at this event. How many possible lineups can be arranged for the music?

a. 15
b. 30
c. 60
d. 90

Answer 1

The number of possible lineups of 4 bands that can be arranged for the festival is 15.

Step-by-step explanation:

In this question, we are given 6 music bands - Metallica, Menudo, AC DC, One Direction, Nirvana, and Selena y Los Dinos - and we need to determine the number of possible lineups of 4 bands that can be arranged for the festival. The number of possible lineups can be calculated using the combination formula C(n, r) = n! / (r!(n-r)!), where n is the total number of bands and r is the number of bands that need to be chosen. Substituting the values, we have C(6, 4) = 6! / (4!(6-4)!) = 6! / (4!2!) = (6*5*4*3) / (4*3*2*1) = 15.

Therefore, the correct answer is

option a. 15

.