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Find the coefficient of x^4 in the expan...

Find the coefficient of `x^4` in the expansion of `(1+x+x^2+x^3)^(11)dot`

A

900

B

909

C

990

D

999

Text Solution

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The correct Answer is:
C
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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8F
  1. The coefficient x^5 in the expansion of (2 - x + 3x^2)^6 is

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  2. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

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  3. If the second, third and fourth in the expansion of (x + y)^n are 135,...

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  4. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  5. If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms r...

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  6. If the coefficients of x^7 and x^8 in the expansion of [2 +x/3]^n a...

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  7. If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) a...

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  8. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

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  9. if the coefficient of rth (r+1) th and (r+2)th terms in the expansion ...

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  10. if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(...

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  11. The coefficient x^5 in the expansion of (2 - x + 3x^2)^6 is

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  12. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

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  13. If the second, third and fourth in the expansion of (x + y)^n are 135,...

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  14. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  15. if a,b,c and d are the coefficient of four consecutive terms in the ex...

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  16. If the coefficients of x^7 and x^8 in the expansion of [2 +x/3]^n a...

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  17. If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) a...

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  18. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

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  19. If the coefficients of the rth, (r+1)t h ,(r-2)t h terms is the expans...

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  20. if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(...

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