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

Prove that , `""^nP_r = ""^((n-1))Pr + r. ""^(n-1)P_((r-1))`

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KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-PRACTICE WORK
  1. How many 3-digit even numbers that can be formed using the digit 2,4,6...

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  2. Find r : ""^(5) P(r) =42 ""^(6)P(r-1)

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

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

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

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

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

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

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

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

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

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

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  13. 6 letters be posted by 3 boxes. The number of ways of posting the lett...

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

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

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

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

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

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

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

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