Eleven comedy acts will perform over two evenings. Six of the acts will perform on the first evening. How many ways can the schedule for the first evening be made?

Question

Is the method used permutation, combination, or a fundamental county principal?

Answer 1

(11 choose 6)

11*10*9*8*7 / 5*4*3*2 =

11*9*8*7 / 4*3 <--- cancels the 10 with 5*2

11*3*8*7 / 4 <--- cancels the 9 with 3

11*3*2*7 <---cancels 8 with 4

77*6 =

(70+7)*6 =

420 + 42 = 464