An executive committee of three is selected from a group of ten. Which expression best describes the number of combinations?

A. 10P3 (small 10 and 3)
B. 10!
C. 3P10 (small 3 and 10)
D. 10P3/3! (small 10 and 3 on top, big 3! on the bottom)

1 answer

I am not sure what your notation is but here is the recipe:
C(n,r) = n!/[r!(n-r)!]
n = 10
r = 3

10!/[3!7!]

10*9*8/(3*2)

10*3*4

120