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If 20cr + 1 = 20cr − 1 , Then R is Equal to (A) 10 (B) 11 (C) 19 (D) 12

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Question

If 20Cr + 1 = 20Cr − 1 , then r is equal to

Options

  • 10

  • 11

  •  19

  • 12

MCQ
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Solution

10

\[r + 1 + r - 1 = 20\] [∵\[{}^n C_x =^n C_y \Rightarrow n = x + y or x = y\]]
\[\Rightarrow 2r = 20\]
\[ \Rightarrow r = 10\]
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Chapter 17: Combinations - Exercise 17.5 [Page 25]

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R.D. Sharma Mathematics [English] Class 11
Chapter 17 Combinations
Exercise 17.5 | Q 4 | Page 25

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