Divide this counting question into two stages:nailyad wrote:Of the 12 temp.empoyee 4 will be hired as permanent. If 5 of the 12 temp.are woman, how many of the possible groups of 4 temp.employees consist of 3 woman and 1 man?
Answer please ?
Stage 1: Select 3 women from the 5 women
Stage 2: Select 1 man from the 7 men
Stage 1: Important question: does order in which we select the 3 women matter? For example, is selecting Ann, Bea and Dawn different from selecting Bea, Ann and Dawn? The answer is no, so we can use combinations.
We can accomplish stage 1 is 5C3 ways (10 ways)
Stage 2: We can select 1 man from 7 men in 7 ways.
The total number of ways to accomplish stage 1 and stage 2 is 10 x 7 = 70
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