SOLUTION: Please show me how to use combinations to solve: How many ways can a committee of 6 men and 8 women be selected from a group of 12 men and 20 women? I know I need the formula N

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Question 259141: Please show me how to use combinations to solve: How many ways can a committee of 6 men and 8 women be selected from a group of 12 men and 20 women?
I know I need the formula N!/(n!(N-n)!) but I don't know how to combine men and women.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Please show me how to use combinations to solve: How many ways can a committee of 6 men and 8 women be selected from a group of 12 men and 20 women?
I know I need the formula N!/(n!(N-n)!) but I don't know how to combine men and women.

Remember: "AND" means "MULTIPLY" and "OR" means "ADD".

This problem is selecting the men AND the women so you MULTIPLY.

You can select the 6 men any of 12%21%2F%286%216%21%29 = 924 ways. 

You can select the 8 women any of 20%21%2F%288%2112%21%29 = 125970 ways.
 
Get each of those and multiply them.  Answer:  116396280 ways.

Edwin