GMAT Quant

Tricky Sets Question Hand Counted #GMAT #GRE #MBA #MiM #sets #counting #combinatorics

The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x, y}, {w, x,y}, and { } (the empty subset). How many subsets of the set {w, x, y, z} contain w ?

(A) Four
(B) Five
(C) Seven
(D) Eight
(E) Sixteen

In this case you could figure out the number based on the number of combinations for 0, 1, 2, or 3 elements. This would take a long time. Maybe just write them out instead…

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