Quote:
Originally Posted by abhishek_mumbai
3. There are 12 temp emloyees in a company. 4 of them will be hired at permanent staff. If 5 of 12 of the temp staff are women, how many of the possible groups of 4 temp employees can consist of 3 women and 1 man?
The order does not matter so it is a Permutation question
for women, 3 selected out of 5 => 5P3
for men, 1 selected out of 7 => 7P1
total = 5P3 * 7P1 = 420
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Lets name 5 woman emps as - A B C D E
Let the one man be named as - M
Now, the grp - A B C M is same as B C A M; so the answer is -->
women selection = 5!/3!*2! = 10
sel of man = 7!/6!*1! = 7
total = 10*7 = 70