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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy
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Understanding +4 | -1
Consider the following statements.

I. If there are nn different objects, then nCr=nCn−r{ }^n C_r={ }^n C_{n-r}, 0≤r≤n0 \leq {r} \leq {n}.

II. If there are nn different objects, then nCr+nCr−1=n+1Cr,0≤r≤n.{ }^n C_r+{ }^n C_{r-1}={ }^{n+1} C_r, 0 \leq {r} \leq {n}.

Choose the correct option.
View answer and explanation
Correct option: B
Both are true
Option B (Both are true) is correct because both statements I and II represent fundamental properties of combinations.

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