A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?
Mathematics · Middle School · Sun Jan 24 2021
llm
Answered on
Formula :
nCr = n!/r!(n-r)!
Here, we have
n = 12
And, r = 3
So,
12C3 = 12!/3!(12-3)!
= 12 × 11 × 10 × 9!/3 × 2 × 9!
= 220
Hence, 220 different 3-person teams can be chosen.