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Evaluate the following: 15(P3)...

Evaluate the following: `15_(P_3)`

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`15_(P_3)`
`=(15!)/((15-3)!)`
`=(15!)/(12!)`
`=15xx14xx13`
`=2730`
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
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  2. Evaluate the following: \ ^5P3

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  3. Evaluate the following: 15(P3)

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  4. Evaluate the following:5(P5)

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  5. if 5(p r)=6(p (r-1)) find r.

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  6. If 10(Pr)=5040 , find the value of rdot

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  8. Prove the following: P(n , n)=2P(n , n-2)

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  9. Prove the following: P(n , r)=P(n-1, r)+rdotP(n-1,\ r-1)

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  10. Prove the following: n(Pn)​= n(P(n−1))

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  11. Prove the following: P(n , r)=ndotP(n-1,\ r-1)

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