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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote How many different subsets of the set {10, 14, 17, 24} are t This topic has 2 expert replies and 0 member replies How many different subsets of the set {10, 14, 17, 24} are t How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements? (A) 3 (B) 6 (C) 8 (D) 10 (E) 12 OA: C What's wrong with options B and D? GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2666 messages Followed by: 125 members Upvotes: 1153 GMAT Score: 770 ardz24 wrote: How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements? (A) 3 (B) 6 (C) 8 (D) 10 (E) 12 OA: C What's wrong with options B and D? There's only two ways that a subset can contain an odd number of elements here (assuming that each element can only be selected once): if the set contains 1 element and if the set contains 3 elements. 1 element sets: {10}, {14},{17}, {24} ---> 4 sets 3 elements sets: {10, 14, 17}, {10, 14, 24}, {10, 17, 24}, {14, 17, 24} --> 4 sets 4 + 4 = 8 sets total. The answer is C. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements?

(A) 3
(B) 6
(C) 8
(D) 10
(E) 12

OA: C

What's wrong with options B and D?
Hi ardz24,
Let's take a look at your question.

We are asked to find the number of subsets of the set {10, 14, 17, 24} that contain an odd number of elements.
The subsets that have odd number of elements have either 1 or 3 elements.
Let's find those subsets.

Subsets with one element = {10}, {14}, {17}, {24}
Subsets with 3 elements = {10, 14, 17}, {10, 14, 24}, (10, 17, 24}, {14, 17, 24}

So there are 8 subsets that have odd number of elements.

Therefore, Option C is correct.

Hope this helps.
I am available if you'd like any follow up.

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