Question

Twelve children play musical chairs. If there are three chairs, how many ways are there for three children to sit?
220
12!/6
1,320
660

Answer 1

The order in which the children sit in the chairs is not important, therefore the number of combinations of 12 taken 3 at a time is required (12C3) 12 choose 3.

Answer 2

\[\large 12C3=\frac{12!}{3!9!}=\frac{12\times11\times10}{6}=you\ can\ calculate\]