Mathematics Homework Help
Mathematics Homework Help. Please help me with this problem.
The factorial function occurs often in probability and statistics. For a non-negative integer n, the factorial is denoted n! (which is read “n factorial”) and is defined as follows: First, 0! is defined to be 1. Next, if n is 1 or larger then n! means n(n − 1)(n − 2)…3 ✕ 2 ✕ 1. Thus 3! = 3 ✕ 2 ✕ 1 = 6.
C =
| n! |
| k!(n − k)! |
if k is not greater than n.
(a) How many different groups of 3 people could be selected from a group of 20 to go on a trip?
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