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Evaluate "(i) "^(12)P(4) " (ii)...

Evaluate
`"(i) "^(12)P_(4) " (ii) "^(75)P_(2) " (iii) "^(8)P_(8)`

Text Solution

Verified by Experts

` "(i) "^(12)P_(4)=(12!)/((12-4)!)=(12!)/(8!)=(12xx11xx10xx9xx(8!))/(8!)=11880.`
` "(ii) "^(75)P_(2)=(75!)/((75-4)!)=(75!)/(73!)=(75xx74xx(73)!)/(73!)=(75xx74)=5550.`
` "(iii) "^(8)P_(8)=8! =(8xx7xx6xx5xx4xx3xx2xx1)=40320.`
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