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Find the value of r if "^(n-1)Pr : ^nPr ...

Find the value of r if `"^(n-1)P_r : ^nP_r = 2:3` and `"^nC_r :^(n+1)C_r = 9:13` , then find n and r

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Find the value of r if "^nP_r = 3024 and "^nC_r = 126

If .^(n-1)C_r:^nC_r:^(n+1)C_r=6:9:13 find n and r.

If .^(n+1)C_(r+1): .^(n)C_(r)=11:6 and .^(n)C_(r): .^(n-1)C_(r-1)=6:3 , find n and r.

If ""^(n-1)C_(r ): ""^(n)C_(r ): ""^(n+1)C_(r )=6:9:13 , find 'n' and 'r' .

If ""^(n)P_r = ""^(n)P_(r+1) and ""^(n)C_r = ""^(n)C_(r-1) ,then the values of n and r are

nC_(r):^(n)C_(r+1)=1:2 and ^(n)C_(r+1):^(n)C_(r+2)=2:3, findn and r

If .^(n)P_(r)=.^(n)P_(r+1) and .^(n)C_(r)=.^(n)C_(r-1) , find n and r.

If .^(n+1)C_(r+1):^(n)C_(r):^(n-1)C_(r-1)=11:6:3 , find the values of n and r.

MAHAVEER PUBLICATION-PERMUTATIONS AND COMBINATIONS -QUESTION BANK
  1. Find n if "^nP3 : ^(n+1)P3 = 5:12

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  2. If "^nC10 = ^nC5 find "^nC14

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  3. Find the value of r if "^nPr = 3024 and "^nCr = 126

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  4. Find the value of r if "^(n-1)Pr : ^nPr = 2:3 and "^nCr :^(n+1)Cr = 9:...

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  5. If show that "^(n-1)Pr = (n-r).^(n-1)P(r-1)

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  6. Prove that "^nCr + 2. ^nC(r-1) + ^nC(r-2) = ^(n+2)Cr

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  7. How many odd numbers of 5 district significatcant digits can be formed...

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  8. Find how many word can be formed of the letters in the word "FAILURE" ...

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  9. How many ways the letters of the word "RUBBER" can be arranged ?

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  10. In how many ways can be letters of the word "MULTIPLE" be arranged wit...

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  11. How many numbers of five digits can be formed without repetition if 2,...

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  12. How many numbers of five digits can be formed without repetition if 0 ...

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  13. Six different colours are chosen to make a tri-colour fiag. How many ...

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  14. How many chords can be drawn through 11 points on a circle?

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  15. How many numbers of 4 digits can be formed with the odd digits without...

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  16. How many words can be formed with the letters of the word 'PENCIL' beg...

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  17. In how many ways 7 books can be arranged from 10 books?

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  18. From 50 students how many ways a group of 3 repesentative can be selec...

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  19. In how many different ways can 8 examination papers be arranged...

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  20. In how many ways a committee of 5 is to be formed from 6 boys and 4 gi...

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