There are 816 ways to choose the new singers
How many ways can they choose the new singers?
The given parameters are:
Number of band members, n = 18
Number of back up singers, r = 3
The number of ways the new singers can be chosen is calculated as:
Ways = nCr
Apply the combination formula
Ways = n!/((n - r)! * r!)
This gives
Ways = 18!/(15! * 3!)
Expand
Ways = 18 * 17 * 16 * 15!/(15! * 3* 2 * 1)
Evaluate the product and the quotient
Ways = 4896/6
Evaluate the quotient
Ways = 816
Hence, there are 816 ways to choose the new singers
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
