In a given city there are 28 reporters of which 16 are men. If the committee of 4 reporters is to be formed

A. How many different committees can be formed?
B. How many different committees contain 3 men?
C. How many different commitrees contain at least 2 men?
D. How many different committees contain at most 3 men?

2 answers

16 men and 12 women

A - you want 4 from 28 , so C(28,4)
B - 3 men, must be 1 woman, so C(16,3)*C(12,1)
C - at least 2 men ---> 2men-2women , 3men1woman, 4men , add up the 3 cases

D - your turn
Thank you :)
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