Out of 6 boys and 4 girls, a group of 7 is to | vedclass

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Question

(c) $1$ girl and $6$ boys ${ = ^4}{C_1}{ 	imes ^6}{C_6} = 4$

$2$ girls and $5$ boys ${ = ^4}{C_2}{ 	imes ^6}{C_5} = 36$

$3$ girls and $4$ boys

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(c) $1$ girl and $6$ boys ${ = ^4}{C_1}{ 	imes ^6}{C_6} = 4$

$2$ girls and $5$ boys ${ = ^4}{C_2}{ 	imes ^6}{C_5} = 36$

$3$ girls and $4$ boys ${ = ^4}{C_3}{ 	imes ^6}{C_4} = 60$

Hence total ways $60 + 36 + 4 = 100$.

Out of $6$ boys and $4$ girls, a group of $7$ is to be formed. In how many ways can this be done if the group is to have a majority of boys

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