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# A youth basketball team has 7 girls and 6 boys. Five players play on the court at a time. How many groups of 5 can be made with girls?

A youth basketball team has

7 girls and 6 boys. Five players play on the court at a time.

How many groups of five can be made that are all girls without repetition?

Thank you so much

### 1 Answer

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- 1 month ago
Since you're just looking to choose from the girls, then the number of boys is irrelevant

7C5 =>

7! / (5! * (7 - 5)!) =>

7 * 6 * 5! / (5! * 2!) =>

7 * 6 / 2! =>

7 * 6 / 2 =>

7 * 3 =>

21

You can make 21 teams of 5 girls from a pool of 7 girls.

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