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SSAT Middle Level
Quantitative (Math)

Choosing Starting Lineup from Players

Medium Data Analysis And Probability Counting Principles

A basketball team has 12 players, but only 5 can be on the court at any given time during a game. The coach wants to select the starting lineup for the next game. How many different ways can the coach select 5 players from the 12?

To solve this problem, you need to use the combination formula, which is given by:

$$C(n, r) = \f\frac{n!}{r!(n - r)!}$$

where $n$ is the total number of players, $r$ is the number of players to choose, and $!$ represents factorial.

Hint

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