SOLUTION: An office consists of seven men and four women. If three are chosen for a committee, how many of these committees will contain exactly one woman. Please help me understand the proc
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Question 1177374: An office consists of seven men and four women. If three are chosen for a committee, how many of these committees will contain exactly one woman. Please help me understand the process of solving this question; is the multiplicative principle used or is the additive principle used?
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An office consists of seven men and four women. If three are chosen for a committee,
how many of these committees will contain exactly one woman.
Please help me understand the process of solving this question;
is the multiplicative principle used or is the additive principle used?
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There is one woman and 2 men in the committee.
You can select one woman from 4 women in 4 different ways (4 = , using the combination language).
You can select two men from 7 men in = = 7*3 = 21 different ways.
You combine the committee of 3 (1 woman and 2 men) in 4*21 different ways.
This logical chain completes the solution.
Solved.
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The multiplicative principle is used.
More precisely, the fundamental counting principle is used;
but you should accurately prepare the input combinations for this principle.
