Problema Solution
The director of a performing arts group wants to select 4 actors from a group of 20 actors to attend a workshop on performing musicals. How many different ways can the director select the 4 spots?
Answer provided by our tutors
We need to find the number of k-combinations from a given set S of n elements.
C(n , k) = n!/(k!(n - k)!)
n = 20, k = 4
C(20, 4) = 20!/(4!*16!)
C(20, 4) = 969 different ways.