COMPUTER SCIENCE AND ENGINEERING
SQL
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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63
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90
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126
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45
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Detailed explanation-1: -Out of 7 men and 3 women, a group of 5 men and 2 women can be made by 7C5×3C2=63.
Detailed explanation-2: -In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? = 63.
Detailed explanation-3: -If i multiply the permutation of these groups by the permutation of women inside this group i would get a total of 5! * 3! = 720. I thought of using this strategy for the problem of arranging the men and multiplying by C(4, 3)=4 because the group is a combination of 3 out of 4 men, which would give 4 * 720 = 2880.
Detailed explanation-4: -Hence, the answer total number of ways to form a 5 member committee is 756.
Detailed explanation-5: -c Here 5 men out of 8 men and 6 women out of 10 women can be chosen in8C5 × 10C6 ways i.e. 11760 ways.