A group consists of 4 girls and 7 boys. In ho | vedclass

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(A) Since the team will not include any girl,only boys are to be selected.We need to select $5$ boys out of $7$ boys.The number of ways to select $5$

Vedclass · Accepted Answer

$21$

Vedclass · Answer

(A) Since the team will not include any girl,only boys are to be selected.We need to select $5$ boys out of $7$ boys.The number of ways to select $5$ boys out of $7$ is given by the combination formula $^{n}C_{r} = \frac{n!}{r!(n-r)!}$.Therefore,the number of ways $= ^{7}C_{5} = ^{7}C_{7-5} = ^{7}C_{2}$.$^{7}C_{2} = \frac{7 	imes 6}{2 	imes 1} = 21$.Thus,there are $21$ ways to select the team.

$A$ group consists of $4$ girls and $7$ boys. In how many ways can a team of $5$ members be selected if the team has no girl?

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