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JEE MATHEMATICS MCQ: COMBINATIONS

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Consider the following statements.

I. nCr+2 nCr−1+nCr−2=n+2Cr{ }^n C_r+2 \, { }^n C_{r-1}+{ }^n C_{r-2}={ }^{n+2} C_r

II. nCp=nCq⇒p=q{ }^n C_p={ }^n C_q \Rightarrow p=q or p+q=np+q=n

Choose the correct option.
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Correct option: C
Both are true
Option C is correct because both statements are true. Statement I is a combinatorial identity, and Statement II describes the condition for equality of combinations.

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