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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1
Determine nn if 2nC3:nC2=12:1{ }^{2 n} {C}_3:{ }^n {C}_2=12: 1
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Correct option: A
5
Option A (5) is correct because the ratio 2nC3:nC2=12:1{ }^{2 n} {C}_3:{ }^n {C}_2=12: 1 simplifies to 2n−1=92n-1 = 9, which gives n=5n=5.

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