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Question

venn diagram
A group of 191 students of which 10 belong 10 chess club, law society and suas.
36 belong to chess club and law society.
20 belong to chess club and and suas.
18 belong to law society and suas
65 belong to chess club.
76 belong to law society and 63 belong to suas


1) how many belong to chess and suas but nut law
2) "" "" "" to law society but neither chess club nor suas
3) "" "" "" to chess club or law society or both
4) "" "' "' how many belong to suas or chess club (or both) but not law
5) How many belong to none of the societies

Answer
This is a standard example of Venn Diagram questions.  See these:

http://en.allexperts.com/q/Advanced-Math-1363/2009/11/Venn-Diagram-3.htm

http://en.allexperts.com/q/Advanced-Math-1363/2008/10/Venn-Diagram-2.htm

http://en.allexperts.com/q/Basic-Math-657/Venn-Diagram.htm

http://en.allexperts.com/q/Advanced-Math-1363/Venn-Diagram.htm

One of them even has a nice picture.

IF you are still having trouble after reading all those, let me know which thing you don't understand.

Paul Klarreich

Expertise

I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience

I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

Education/Credentials
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