a committee 4 people is to be chosen from 5 married couples. find in how many ways the committee can be chosen
1).If everyone is equally eligible
2).If the committee should include at least one woman
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Step-by-step explanation:
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Step-by-step explanation:
5 married couples = 5 Men and 5 Women
Case 1: Everyone is equally eligible
=> No. of ways to chose 4 people out of 10 = 10C4 = 210
Case 2: At least one women
=> total no. of ways - those ways in which no woman is selected
No. of ways in which no woman is selected = no. of ways in which only men are selected = 5C4 = 5
=> 210 - 5 = 205
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