[Math] A committee of four people, containing at least one man and one woman, must be chosen from four men and three women.

combinatorics

A committee of four people, containing at least one man and one woman, must be chosen from four men and three women. How many different committees are possible?

I dont really now how to solve this. I tried solve them by counting them in groups. but thats not really the right way I guess. Can anyone give me a clue to solve this.

Best Answer

Hint: Choose four people from seven. You only need to avoid the one combination of picking all four men.

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