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If \ ^n C(12)=\ \ ^n C8 then n=...

If `\ ^n C_(12)=\ \ ^n C_8` then `n=`

A

20

B

12

C

6

D

30

Text Solution

Verified by Experts

The correct Answer is:
A
Given that, `""^(n)C_(12) = ""^(n)C_(8)`
`rArr` `""^(n)C_(n - 12) = ""^(n)C_(8) " " [because ""^(n)C_(r) = ""^(n)C_(n-r)]`
`rArr` `n - 12 = 8`
`rArr` `n = 12 + 8 = 20`
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Knowledge Check

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