SOLUTION: A department contains 8 men and 20 women. It needs to build a committee of 6. a. How many ways can you build these committees? Committees with only women? Committees with on

Algebra ->  Sequences-and-series -> SOLUTION: A department contains 8 men and 20 women. It needs to build a committee of 6. a. How many ways can you build these committees? Committees with only women? Committees with on      Log On


   

Question 459568: A department contains 8 men and 20 women. It needs to build a committee of 6.
a. How many ways can you build these committees?
Committees with only women?
Committees with one man?
Committees with two men?
Committees with three men?
b. How many ways are there to form a committee with 6 members if it must have more women than men?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A department contains 8 men and 20 women. It needs to build a committee of 6.
a. How many ways can you build these committees?
Committees with only women?::: 20C6 = 38,760
Committees with one man?8C1*20C5 = 124,032
Committees with two men?:::8C2*20C4 = 135,660
Committees with three men?:::8C3*20C3 = 63840
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b. How many ways are there to form a committee with 6 members if it must have more women than men?
Comment: # of men could be 0 or 1 or 2
Cheers,
Stan H.