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How many three digits numbers can be for...

How many three digits numbers can be formed by using the digits 0,1,3,5,7 while each digit may be repeated any number of times?

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RD SHARMA ENGLISH-PERMUTATIONS-All Questions
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  2. How many numbers of four digits can be formed with the digits 1,2,3,4,...

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  3. How many three digits numbers can be formed by using the digits 0,1...

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  4. How many natural numbers less than 1000 can be formed form the digits ...

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

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

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

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

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

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

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

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  12. Evaluate the following: \ ^5P3

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

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

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

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

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

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

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

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

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