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nCr Definitions and Properties

From a group ...

Question

From a group of persons the number of ways of selecting 5 persons is equal to that of 8 persons. The number of persons in the group is

A

13

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B

40

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C

18

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D

21

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Solution

The correct option is A 13
use $^{n} C_{r} =^{n} C_{s} \Leftrightarrow n = r + s o r r = s$
The number of persons in the group is 8 +5 =13

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nCr Definitions and Properties

Standard XI Mathematics

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