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

Find the value of n `^ 2nC_4: ^nC_3=35:2`

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PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
  1. Find the number of diagonals in a polygon with n sides.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. In how many ways can be 9 man be selected from 15 men so as always to ...

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  19. In how many ways can be 9 man be selected from 15 men so as always to ...

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  20. How many each consisting of five different letters can be formed by ta...

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