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luda_lava [24]
3 years ago
14

The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How man

y different teams made up of two girls and two boys could be chosen?
Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

Total\ Selection = 30\ ways

Step-by-step explanation:

Given

Girls = 3

Boys = 5

Required

How many ways can 2 boys and girls be chosen?

The keyword in the question is chosen;

This implies combination and will be calculated as thus;

Selection =\  ^nC_r = \frac{n!}{(n-r)!r!}

For Boys;

n = 5 and r = 2

Selection =\  ^5C_2

Selection = \frac{5!}{(5-2)!2!}

Selection = \frac{5!}{3!2!}

Selection = \frac{5 * 4 * 3!}{3!*2 * 1}

Selection = \frac{20}{2}

Selection = 10

For Girls;

n = 3 and r = 2

Selection =\  ^3C_2

Selection = \frac{3!}{(3-2)!2!}

Selection = \frac{3!}{1!2!}

Selection = \frac{3 * 2!}{1 *2!}

Selection = \frac{3}{1}

Selection = 3

Total Selection is calculated as thus;

Total\ Selection = Boys\ Selection * Girls\ Selection

Total\ Selection = 10 * 3

Total\ Selection = 30\ ways

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