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In a group of 20 people, 5 of them belong to the golf club,

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by BTGmoderatorDC » Mon Mar 18, 2019 6:03 am
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In a group of 20 people, 5 of them belong to the golf club, 7 to the swim club, and 9 to the tennis club. If 2 of the people belong to all three clubs and 3 belong to exactly two of the three clubs, then how many of 20 people belong to neither of the three clubs?

A. 1
B. 2
C. 4
D. 6
E. 11

OA D

Source: Veritas Prep
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by Scott@TargetTestPrep » Tue Mar 19, 2019 5:57 pm
BTGmoderatorDC wrote:In a group of 20 people, 5 of them belong to the golf club, 7 to the swim club, and 9 to the tennis club. If 2 of the people belong to all three clubs and 3 belong to exactly two of the three clubs, then how many of 20 people belong to neither of the three clubs?

A. 1
B. 2
C. 4
D. 6
E. 11

OA D

Source: Veritas Prep

We can create the following equation:

Total = # who belong to golf + # who belong to tennis + # who belong to swim - (# who belong to exactly 2 clubs) - 2(# who belong to all 3 clubs) + # who belong to none

20 = 5 + 9 + 7 - 3 - 2(2) + N

20 = 14 + N

6 = N

Answer: D

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