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

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

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PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
  1. The number of five digit telephone numbers none of their digits being ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the number of different factors of 3528 which are greater than 1 ...

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  19. In a plane there are 10 points out of which no three are collinear exc...

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  20. In a plane there are 10 points out of which no three are collinear exc...

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