A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

Explanation

(i) number of Candidates `= 2` Men `+ 3` Women `= 5`

Person required `= 3`

ways `= \ ^5 C 3​=10`


(ii) Men `= 2`

Women `= 3`


No of ways of selecting 1 man and 2 woman `=\ ^2 C_1​ xx \ ^3 C_2
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