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The coefficient of t^4 in ((1-t^6)/(1-t)...

The coefficient of `t^4` in `((1-t^6)/(1-t))^3` (a) `18` (b) `12` (c) `9` (d) `15`

A

12

B

15

C

10

D

14

Text Solution

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The correct Answer is:
B
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ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE (J-M)
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  5. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

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  7. If Sigma(r=0)^(25) { ""^(50)Cr.""^(50-r)C(25-r)}=K(""^(50)C(25)) then...

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  8. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

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  9. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

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  14. The sum of the series 2.""^(20)C0+5.""^(20)C1+8.""^(20)C2+11.""^(20)C(...

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  15. If some three consecutive coefficeints in the binomial expanison of (x...

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  16. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

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  17. The smallest natural number n, such that the coefficient of x in the e...

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  18. The cofficient of x^(18) in the product (1 + x) (1 - x)^(1) (1 + x + x...

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  19. If .^(20)C(1)+(2^(2)) .^(20)C(2) + (3^(2)).^(20)C(3) +......+(20^(2))....

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  20. The term independent of x in the expansion of ((1)/(60) - (x^(8))/(81)...

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