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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 ## set problem tagged by: BTGmoderatorRO ##### This topic has 1 expert reply and 0 member replies ## set problem 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 is c How can i get the correct answer here with well detailed explanation? please help me out Thanks ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: 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 is c How can i get the correct answer here with well detailed explanation? please help me out Crying or Very sad Thanks Hi Roland2rule, Let's take a look at your question. The given set is: $$\left\{10,\ 14,\ 17,\ 24\right\}$$ The subsets that include odd number elements could have either one element or 3 elements. So let's first write all possible subsets that have only one element. $$\left\{10\right\},\ \left\{14,\right\}\ \left\{17\right\},\left\{24\right\}$$ Therefore, there are 4 subsets that have one element. Now let's write all possible subsets that have 3 elements. $$\left\{10,\ 14,\ 17\right\},\ \left\{10,\ 14,\ 24\right\},\ \left\{10,\ 17,\ 24\right\},\ \left\{14,\ 17,\ 24\right\}$$ Therefore, there are 4 possible subsets of the given set that have 3 elements. Hence the total number of subsets that have odd number of elements are 4 + 4 = 8. So, Option C is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • FREE GMAT Exam Know how you'd score today for$0

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