A basketball team has 9 players. In how many different ways can the coach coach select 2 players to be the captain for tonight's game
The correct answer is:
36.
Explanation:
This is a combination of 9 items taken 2 at a time (order is not important). This is given by the formula:
\(_nC_r=\frac{n!}{(n-r)!r!}
\\
\\_9C_2=\frac{9!}{(9-2)!2!}=\frac{9!}{7!2!}=36\)