(D) Given that ${ }^{n} C_{12}={ }^{n} C_{8}$.We know the property of combinations that ${ }^{n} C_{r}={ }^{n} C_{k}$ implies either $r=k$ or $n=r+k$.

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(D) Given that ${ }^{n} C_{12}={ }^{n} C_{8}$.We know the property of combinations that ${ }^{n} C_{r}={ }^{n} C_{k}$ implies either $r=k$ or $n=r+k$.Here,$r=12$ and $k=8$.Since $12 \neq 8$,we must have $n=12+8$.Therefore,$n=20$.

Class 11 Mathematics Permutation and Combination Definition of combinations, Condition combinations

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If ${ }^{n} C_{12}={ }^{n} C_{8}$,then $n$ is equal to

KCET 2017 All KCET

A
$26$
B
$12$
C
$06$
D
$20$

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Permutation and Combination

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Definition of combinations, Condition combinations

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If ${ }^{n} C_{12}={ }^{n} C_{8}$,then $n$ is equal to

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