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The coefficient of a^(5)b^(6)c^(7) in th...

The coefficient of `a^(5)b^(6)c^(7)` in the expansion of `(bc + ca + ab)^(9)` is

A

100

B

120

C

720

D

1260

Text Solution

Verified by Experts

The correct Answer is:
D
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NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
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  2. (i) What is the second term in the expansion of (1 + x)^(n)? (ii) Wr...

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  3. The coefficient of a^(5)b^(6)c^(7) in the expansion of (bc + ca + ab)^...

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  4. If the expansion of (3sqrt(x)/7 - 5/(2xsqrt(x)))^(13n) contains a term...

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  5. Prove that ""^(10)C(2)+2xx^(10)C(3)+^(10)C(4)=^(12)C(4)

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  6. Let f (x) = [x] , where [x] denotes the greater integer less t...

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  7. If ninN,"then "3^(2n+2)-8n-9 is divisible by

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  8. Let T(n) denote the number of triangles which can be formed by using t...

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  9. The coefficient of the middle term in the expansion of (x + 2y)^(6) is

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  10. Let (1 + x)^(n) = 1 + a(1)x + a(2)x^(2) + ... + a(n)x^(n). If a(1),a(2...

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  11. If the sum of the coefficients in the expansion of (a^(2)x^(2) - 6ax +...

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  12. The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^...

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  13. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

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  14. Which one of the following is true?

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  15. When 2^(1505) is divided by 9, the remainder is

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  16. The term independent of x in the expansion of (x + 1/x^())^(6) is

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  17. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

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  18. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

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  19. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

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  20. The middle term in the expansion of (10/x + x/10)^(10) is

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