Math, asked by dksingh6730, 1 year ago

In how many ways can a committee of 1 man and 3 women can be formed from a group of 3 men and 4 women?

Answers

Answered by mysticd
19

 Number \:of \:men \: in \: a \: group = 3 \\Number \: of \:women \: in \:the \: group = 4

 Number \:of \:ways \: a \:committee \:of \\1 \:man \: and \: 3 \:women \: can \: be \: formed \\from \: a \: group \:of \: 3 \:men \:and \:4 \:women \\= ^{3}C_{1} \times ^{4}C_{3} \\= \frac{3!}{(3-1)! 1! } \times \frac{4!}{(4-3)! 3! }

 \boxed {\pink { ^{n}C_{r} = \frac{n!}{(n-r)! r! }}}

 = \frac{3!}{2! \:1! } \times \frac{4!}{1! 3! }

 =\frac{3\times 2!}{2! \:1! } \times \frac{4\times 3!}{1! 3! }

 = 3 \times 4\\= 12

Therefore.,

 \red { Number \:ways }\green {= 12}

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Answered by ravirat1919
5

Answer:

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