Bunuel wrote:
There are four distinct pairs of brothers and sisters. In how many ways can a committee of 3 be formed and NOT have siblings in it?
A. 8
B. 24
C. 32
D. 56
E. 80
Notes:
-- We are selecting, not arranging groups/people, so we use combinations
-- There is no replacement, in fact "choose 1 sibling" requires us to remove the other possible sibling for the next step
-- The 4 pairs are different, but the people in them count as identical (each is a sibling rather than boy/girl). So we are
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