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Evaluate the following: \ ^5P3...

Evaluate the following: `\ ^5P_3`

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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
  1. In how many ways can 4 prizes be distributed among 5 students, when (1...

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  2. There are 10 lamps in a hall. Each one of them can be switched on i...

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  3. Evaluate the following: \ ^5P3

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  4. Evaluate the following: P(15 ,3)

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  5. Evaluate the following: P(5,5)

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  6. If P(5, r)=2.P(6, r-1), find r.

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  7. If 10Pr=5040 , find the value of rdot

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  8. If 9P5+5^9P4=^(10)Pr , find the value of rdot

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

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

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

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

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  13. In how many ways three different rings can be worn in four fingers wit...

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  14. How many different signals can be made by 5 flags from 8 flags of d...

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  15. Three men have 4 coats, 5 waist coats and 6 caps. In how many ways c...

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  16. How many numbers lying between 100 and 1000 can be formed with the dig...

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  17. How many four digit numbers are there with distinct digits?

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  18. In how many ways 7 pictures can be hung from 5 picture nails on a wall...

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  19. The number of natural numbers smaller than 10^4 of which all digits ar...

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  20. How many words, with or without meaning, can be formed using all th...

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