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in Mathematics by (54.8k points)

In how many ways can a team of 3 boys and 3 girls be selected form 5 boys and 4 girls?

1 Answer

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Best answer

We have, Number of girls = 4 

Number of boys = 5 

∴ 3 girls out of 4 girls can be selected in 4C3 ways and 3 boys out of 5 boys can be selected in 5C3 ways. 

∴ Required number of ways

5C3 x 4C3

= (5 x 4 x 3)/(3 x 2 x 1) x (4 x 3 x 2)/(3 x 2 x 1)

= 10 x 4 = 40

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