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Prove that product of any r consecutive ...

Prove that product of any r consecutive natural numbers is always divisible by `r!`

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PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
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  2. If n parallel straight line in a plane are intersected by a family of ...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. In how many ways can six students be seated in a line so that two part...

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  16. Find the value of x if ^(4x-2)P2=6

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  17. In how many ways can 5 boys and 3 girls be arranged so that no two gir...

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  18. Find the number of different arrangements with the letters of the word...

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  19. How many numbers of 4 digit greater than 6000 can be formed with the d...

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  20. A book store has 2 different books each having 3 volumes and 3 other d...

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