1. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?

2. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys?

Question

Mathematics

Lily Buckley

20 September, 04:21

1. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?

2. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys?

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Answers (1)

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Daphne Warren · Answer 1

The sample space of the problem is 10 players. If a team containing 6 girls and 7 boys are to be selected, then the number of ways is 10C6 * 10C7 equal to 25,200 ways. In 2, a team of 5 and 5 results to 63504 possible ways