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## Difficult Math Question #25 - Sets

This topic has 3 member replies
800guy Master | Next Rank: 500 Posts
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#### Difficult Math Question #25 - Sets

Mon Oct 09, 2006 4:33 pm

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

anandsebastin Junior | Next Rank: 30 Posts
Joined
13 Oct 2006
Posted:
10 messages
Wed Oct 18, 2006 6:40 pm
C

subsets with one element - 4
subsets with 3 elements - {10,14,17}, {10, 17,24}, {10,14,24}, {14,17,24} = 4. Total = 8

800guy Master | Next Rank: 500 Posts
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Thu Oct 12, 2006 10:08 am
here's the oa:

8 is the answer. The different subsets are

10,
14,
17,
24,
10, 14, 17

14 17 24

17 24 10

24 10 14

gamemaster Senior | Next Rank: 100 Posts
Joined
03 Sep 2006
Posted:
34 messages
Tue Oct 10, 2006 4:13 am
4C1 + 4C3 = 8

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