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Question

There are seven boys and three girls on a school tennis team. The coach must select four people from this group to participate in county championship. What is the probability that two boys and two girls are chosen for the team?

A
310
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B
710
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C
23
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D
None of the above
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Solution

The correct option is A 310
Given:
Total number of boys =7
Total number of girls =3

Step 1: 2 boys can be selected by 7C2 ways
7C2=21

Step 2: 2 girls can be selected by 3C2 ways
3C2=3

Step 3: 4 member can be selected for the team by 10C4 ways
10C4=10×9×8×74×3×2
=210

Step 4: Probability of selecting 4 member for the team
=7C2×3C210C4
=21×3210
=310

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