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a committee of 3 women and 4 men is to be formed from 6 women and 7 men. How many ways committee can be formed if it can only include at most 1 of the youngest woman or youngest man.
case 1: neither are included -> 5C3 X 6C2
case 2: only youngest woman included -> 5C3 X 7C4
case 3: only youngest man included -> 6C3 X 6C3
i then add all of those up together. is this right?