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Problem involving venn diagram

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Junior | Next Rank: 30 Posts
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by ashhchdg » Sat Aug 20, 2011 5:13 am
There are three country clubs in town: Abacus, Bradley, and Claymore. Abacus has
300 members, Bradley 400, and Claymore has 450. 30 people belong to both
Abacus and Bradley, 40 to both Abacus and Claymore, and 50 to both Bradley and
Claymore. 20 people are members of all three clubs. How many people belong to at
least 1 country club in town?

Ans is 1050


I could figure out the individual members in each club using venn diagram,but was unable to understand the term "How many people belong to atleast 1 country club in town ". Does it mean we need to add the members belonging to only one club ?
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by akhilsuhag » Sat Aug 20, 2011 5:38 am
Add the numbers of people who are members of just one group to the number of people who are members of two groups and finally the number of people who are members of all three groups.

The sum gives you the required result.
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