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

The value of:
`""^(15)C_(0)^(2)-""^(15)C_(1)^(2)+""^(15)C_(2)^(2)- . . .-""^(15)C_(15)^(2)` is:

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The correct Answer is:
C
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

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

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

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

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

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

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

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  8. 20 C(0)+20 C(1)+20 C(2)+.. .+20 C(10) =

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  9. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

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  10. The coefficient of x^(5) in (1+x^(2))^(5)(1+x)^(4) is

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  11. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

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  12. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(16) co...

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  13. The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) i...

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  14. If the coefficient of 4^(th) term in the expansion of (x+(alpha)/(2...

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

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  16. The coefficient of x^(13) in the expansion of (1-x)^(5)(1+x+x^(2)+x...

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  17. The coefficient of (1)/(y^(2)) in (y+(c^(3))/(y^(2)))^(10) is

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

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  19. The 7^(th) term in ((1)/(y)+y^(2))^(10) , when expanded in descendin...

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  20. The term independent of x in (1+x)^(m)(1+(1)/(x))^(n)

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