If ^nC2 = ^nC3 then find n.(a) 2(b) 3(c) 5(d) 6I have been asked this question in an online quiz.I want to ask this question from Combinations topic in section Permutations and Combinations of Mathematics – Class 11

If ^nC2 = ^nC3 then find n.(a) 2(b) 3(c) 5(d) 6I have been asked this

1.	If ^nC2 = ^nC3 then find n.(a) 2(b) 3(c) 5(d) 6I have been asked this question in an online quiz.I want to ask this question from Combinations topic in section Permutations and Combinations of Mathematics – Class 11
Answer» Correct CHOICE is (c) 5 To elaborate: We know, ^NCP = ^nCq =>either p = q or p + q = n. Here p=2 and q=3 so, p ≠ q. Hence p + q = n => n = p + q = 2 + 3 = 5.

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