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Question

Two teachers from each stream are to be included?

A
210
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B
180
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C
145
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D
96
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E
None of these
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Solution

The correct option is B 180

When two teachers from each stream are to be included, then number of ways
=4C2×5C2×3C2=4!(42)!×2!×5!(52)!×2!×3!(32)!×2!=4×3×2!2!×2×1×5×4×3!3!×2×1×2!×31×2!
=2×3×5×2×3=180


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A+B+C=N (N Fixed)
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