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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? |
Answer» `M_1,M_2,W_1,W_2,W_3` total ways `= .^5C_3 = (5!)/(3!2!)` `= (5*4*3!)/(3!2*1) = 10` with 1 man & 2 women `= .^2C_1.^3C_1` `= (2!)/(1!1!) * (3!)/(2!1!)` `=2*3= 6` answer |
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