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Study Stuff for MCA Examinations - NIMCET

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In a beauty contest, half the number of experts voted Mr. A and two thirds voted for Mr. B 10 voted for both and 6 did not for either. How may experts were there in all.

Let the total number of experts be .

is the set of experts who voted for miss .

is the set of experts who voted for miss .

Since did not vote for either, n.

and

.

So,

Solving the above equation gives

is the set of experts who voted for miss .

is the set of experts who voted for miss .

Since did not vote for either, n.

and

.

So,

Solving the above equation gives

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