At a campus placement, there are eight women and five men competing for the three male and threefemale executive positions. How many different combinations of executive are possible on the finalinterview for the six executive positions?
Answers
Given : eight women and five men competing for the three male and three female executive position
To Find : How many different combinations of executive are possible on the final interview
Solution:
Men = 5
Women = 8
Positions
Male = 3
Female = 3
3 Females positions out of 8 women can be selected in ⁸C₃ = 56 ways
3 Males positions out of 5 Men can be selected in ⁵C₃ = 10 ways
Total Ways = 56 x 10 = 560
560 different combinations of executive are possible on the final interview for the six executive positions
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