Answer:
(a) 896
(b) 1000
(c) 910
Step-by-step explanation:
Number of women = 8
Number of men = 6
A committee consisting of 3 men and 3 women is to be formed.
(a) 2 of the men refuse to serve together.
Number of men who don't want to serve together = 2
Remaining men = 4
Total ways = Both men who don't want to serve together are not selected + only one of them is selected.
(b) 2 of the women refuse to serve together.
Number of women who don't want to serve together = 2
Remaining men = 6
Total ways = Both women who don't want to serve together are not selected + only one of them is selected.
(c)1 man and 1 woman refuse to serve together.
Ways = Total ways - Both man and woman are select who refuse the serve together