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The number of ways in which 5 letters ca...

The number of ways in which 5 letters can be posted in 10 letter boxes is

A

50

B

`^10P_5`

C

`5^10`

D

`10^5`

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The correct Answer is:
D
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PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
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  2. The total number of 9 digit numbers which have all different digit is

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  3. The number of ways in which 5 letters can be posted in 10 letter boxes...

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  4. The number of five digit telephone numbers none of their digits being ...

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  5. There are 13 stations on a certain railway line.How many kinds of diff...

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  6. Prove that (2n!)/(n!)={1.3.5.....(2n-1)}2^n

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  7. Find the number of diagonals in a polygon with n sides.

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  8. A man has 6 friends. In how many ways can he invite one or more of the...

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  9. Find the value of n ^ 2nC4: ^nC3=35:2

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  10. If , ^nC1,^nC2 and ^nC3 are in AP. Find the value of n.

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  11. How many numbers of 5 digits can be formed with the digits 0,2,5,6,7 w...

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  12. A child has 6 pockets and 4 coins.Find the number of ways the child ca...

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  13. Find the number of ways in which one or more letters can be selected ...

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  14. If n parallel straight line in a plane are intersected by a family of ...

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  15. Prove that product of any r consecutive natural numbers is always divi...

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  16. If (nP(r-1))/a=(nPr)/b=(nP(r+1))/c then show that b^2-ab-ac=0

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  17. Prove that 33! is divisible by 2^(16)

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  18. Find the value of k if ^(k^2-2k)C9 = ^(k^2-2k)C6

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  19. If ^nPr=336 and ^nCr=56 then find n and r.

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  20. If 2lerlen show that ^nCr +2 ^nC(r-1) +^nC(r-2)=^(n+2)Cr

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