From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. In how many ways can the committ
ee be formed if one man and one woman refuses to serve tog
1 answer:
Answer:
910
Step-by-step explanation:
From the given information;
Suppose that everyone served together;
Then, we have:
= C(8,3) × C(6,3)
=
=
= 1120
But since 1 man and 1 woman refuses to serve together;
Then:
The combination will be:
= C(7,2) × C(5,2)
=
=
= 210
∴
1120-210 = 910
Thus, the number of ways committee can be formed = 910
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