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If ""nPr=840 and ""^nCr=35, then r is eq...

If `""_nP_r=`840 and `""^nC_r=35`, then r is equal to....

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KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-PRACTICE WORK
  1. Find r : ""^(5) P(r) =42 ""^(6)P(r-1)

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  2. Prove that , ""^nPr = ""^((n-1))Pr + r. ""^(n-1)P((r-1))

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  3. If ""nPr=840 and ""^nCr=35, then r is equal to....

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  4. If ""^((n+2)) C8 :"" ^((n-2)) P4= 57 : 16 then find n.

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  5. If ""^nC10= ""^nC12 then find ""^23Cn.

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  6. In how many ways can a football team of 11 players be selected from 16...

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  7. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  8. A polygon has 65 diagonals, then find the number of its side.

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  9. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  10. How many four digit numbers divisible by 4 can be made with the digit ...

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  11. How many different words can be formed by using all the letters of the...

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  12. 6 letters be posted by 3 boxes. The number of ways of posting the lett...

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  13. How many different words can be formed by using all the letters of the...

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  14. In how many different words can be formed by using all the letters of ...

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  15. In a room, there are 12 bulb of same waltage each having a separate sw...

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  16. There are 8 points in a plane. Out of them, 3 points are collinear. Us...

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  17. What is the number of ways of choosing 3 cards from a pack of 52 playi...

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  18. A box contains 2 white balls, 3 black balls and 4 red balls. The numbe...

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  19. How many numbers greater than 7000 can be formed with the digits 2, 5,...

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  20. Determine the number of 5 cards combinations out of a deck of 52 cards...

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