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Evaluate (i) ""^(8)P(3) (ii) ""^(12)...

Evaluate
`(i) ""^(8)P_(3)`
(ii) `""^(12)P_(2)`

Text Solution

Verified by Experts

(i) `""^(8)P_(3)`
`=(8!)/((8-3)!)" "[because ""^(n)P_(r)=(n!)/((n-r)!)]`
`=(8!)/(5!)`
`=(8xx7xx6xx5!)/(5!)`
`=336`
(ii) `""^(12)P_(2)`
`=(12!)/((12-2)!)`
`=(12!)/(10!)`
`(12xx11xx10!)/(10!)`
`=132`
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