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The number of terms in the expansion of ...

The number of terms in the expansion of
`(1+3 x+3 x^(2)+x^(3))^(7)` is

A

21

B

22

C

20

D

19

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. If A is the sum of the odd terms and B is the sum of even terms in the...

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  2. The number of terms in the expansion (1+x)^(101)(1-x+x^(2))^(100) is

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  3. The number of terms in the expansion of (1+3 x+3 x^(2)+x^(3))^(7) is

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  4. The total number of terms in the expansion of (x+y)^(150)+(x-y)^(150...

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  5. If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, th...

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  6. If (1+alphax)^(n)=1+8x+24x^(2)+ . . ., then the value of alpha and n i...

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  7. The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion...

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  8. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...

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  9. The coefficient of x^(17) in (x-1)(x-2)(x-3). . . (x-18) is:

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  10. The value of x for which the sixth term in the expansion of [2^(log(...

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  11. If in the expansion of (a+x)^(n),P and Q represent the sum of odd and ...

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  12. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

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  13. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

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  14. The sum (1)/(2)""^(10)C(0)-""^(10)C(1)+2.""^(10)C(2)-2^(2)*""^(10)C(3)...

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  15. The value of: ""^(15)C(0)^(2)-""^(15)C(1)^(2)+""^(15)C(2)^(2)- . . ....

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  16. If the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has 13t...

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  17. The fourth term in the binomial expansion of (x^(2)+(2)/(x^(2)))^(n)...

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  18. Sum to (n+1) terms of the series: (C(0))/(2)-(C(1))/(3)+(C(2))/(4)-(C(...

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  19. Value of 2C(0)+(2^(2))/(2)C(1)+(2^(3))/(3)C(2)+ . . .+(2^(11))/(11)C(1...

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  20. 20 C(0)+20 C(1)+20 C(2)+.. .+20 C(10) =

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