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(i) If ""^(2n)C(3) : ""^(n)C(3)= 11 : ...

(i) If `""^(2n)C_(3) : ""^(n)C_(3)= 11 : 1`, find n.
(ii) If `""^(2n)C_(3) : ""^(n)C_(2) = 12 : 1`, find n.

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If .^(2n)C_(3):.^(n)C_(3)=12:1 , find n.

If .^(2n)C_(3):^(n)C_(3)=11:1 , find the value of n.

Determine n if ""^(2n)C_(3):""^(n)C_(3)=12:1 .

(i) If ""^(n)C_(8)= ""^(n)C_(2) , find ""^(n)C_(2) . (ii) If ""^(n)C_(10)= ""^(n)C_(12) , determine n and hence ""^(n)C_(5) . (iii) If ""^(n)C_(9)= ""^(n)C_(8) , find ""^(n)C_(17) .

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If the ratio ^(2n)C_(3).^(n)C_(3) is equal to 11:1 find n

MAHAVEER PUBLICATION-PERMUTATIONS AND COMBINATIONS -QUESTION BANK
  1. Find the value "^11P5

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  2. Find the value "^14P11

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  3. (i) If ""^(2n)C(3) : ""^(n)C(3)= 11 : 1, find n. (ii) If ""^(2...

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  4. Find n if "^nP4 = 10 xx ^nP3

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  5. Find n if "^nC12 = ^nC8

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  6. Find n if "^nP3 : ^(n+1)P3 = 5:12

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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