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Two Subsets Union Intersection

1800SpecialistCombinatoricsCounting Principles

AMC 10A · 2008 · Problem 23

Two subsets of the set $S=\lbrace a,b,c,d,e\rbrace$ are to be chosen so that their union is $S$ and their intersection contains exactly two elements. In how many ways can this be done, assuming that the order in which the subsets are chosen does not matter?

Answer choices

A
20
B
40
C
60
D
160
E
320
0 students attempted0% solvedRating 1800

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