# If Nc12 = Nc8 , Then N = (A) 20 (B) 12 (C) 6 (D) 30 - Mathematics

MCQ

If nC12 = nC8 , then n =

• 20

• 12

• 6

• 30

#### Solution

20

$n = 12 + 8 = 20$  [∵ ${}^n C_x =^n C_y \Rightarrow n = x + y or x = y$]
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Q 7 | Page 25