#Is my working out correct? I have a feeling I did it wrong :(
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tribal ravine
Is my working out correct?
First line is the total committees possible, second line is for the married couple restriction
finite acorn
Hm. Well, the first is correct, but I'm not 100% sure about the second.
tribal ravine
btw my logic for solving with the restriction, is that since there can't be both from the couple, then it's either gonna be a choice of 9 men and 7 women, (the man of the couple is in the committee, or a choice of 8 women and 8 men (the woman of the couple being in the committee)
finite acorn
I feel like we should also subtract the case when they both aren't there, so C(8, 5)C(7, 5), otherwise we are overcounting. Not 100% sure, though.
tribal ravine
shouldn't we also substract the cases where they both are there?
btw I thought of something
would doing it in the following way work:
when only man is chosen, there are 4 spots and 8 men remaining whilst for women it'll be 7 women (can't have the woman) and 5 spots
so C(8,4)*C(7,5)
and then use same logic for the other side
and add them?
finite acorn
Hm...
To be honest, not too sure. Can't say I'm too good with these types of problems,