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If .^(n)C(8)=^(n)C(6), then find .^(n)C(...

If `.^(n)C_(8)=^(n)C_(6)`, then find `.^(n)C_(2)`.

Text Solution

Verified by Experts

If `.^(n)C_(x)= .^(n)C_(y) " and" x ne y`, then x+y=n. Hence,
`.^(n)C_(8)= .^(n)C_(6)`
`implies n=(8+6)=14`
Now, `.^(n)C_(2)= .^(14)C_(2)=(14xx13)/(2)=91`
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