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Find the number of ways in which 8 disti...

Find the number of ways in which 8 distinct toys can be distributed among 5 children.

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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
  1. How many natural numbers less than 1000 can be formed form the digits ...

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  2. How many five digit telephone numbers can be constructed using the dig...

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  3. Find the number of ways in which 8 distinct toys can be distributed ...

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  4. Find the number of ways in which one can post 5 letters in 7letter ...

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  5. In how many ways can 5 different balls be distributed among three b...

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  6. In how many ways can 7 letters be posted in 4 letter boxes?

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  7. In how many ways can 4 prizes be distributed among 5 students, when (1...

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

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  9. Evaluate the following: \ ^5P3

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

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

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

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

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

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

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

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

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

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

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

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