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Find n if "^nC12 = ^nC8...

Find n if `"^nC_12 = ^nC_8`

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The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n is (A) ^nC_4 (B) ^nC_4+^nC_2 (C) ^nC_4+^nC_2+^nC_4.^nC_2 (D) ^nC_4+^nC_2+^nC_1.^nC_2

MAHAVEER PUBLICATION-PERMUTATIONS AND COMBINATIONS -QUESTION BANK
  1. (i) If ""^(2n)C(3) : ""^(n)C(3)= 11 : 1, find n. (ii) If ""^(2...

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

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  3. Find n if "^nC12 = ^nC8

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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