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Observe the following statements : S...

Observe the following statements :
Statement - I : `1/2 . ""^10C_0 - ""^10C_1 + 2. ""^10C_2 - 2^2. ""^10C_3 + ……+ 2^9. ""^10C_10 = -1/2`
Statement - II : `""^20C_1 - 2(""^20C_2) + 3.(""^20C_3)-…..-20.(""^20C_20) = 0`
Then the false statements are :

A

only I

B

only II

C

both I and II

D

neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. If 'c' is small in comparison with l then ((l)/(l+c))^(1//2) + ((l)/(l...

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  2. If x is numerically so small so that x^2 and higher powers of x can be...

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  3. If x is small so that x^2 and higher powers can be neglected, then the...

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  4. 1+(2)/(4) + (2.5)/(4.8)+(2.5.8)/(4.8.12)+(2.5.8.11)/(4.8.12.16)+…..=

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  5. (3)/(4.8)+(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)+….=

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  6. Observe the following statements : Statement -I : In the expansion...

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  7. The following coefficients which are in increasing order are :

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  8. Observe the following statements : Statement - I : 1/2 . ""^10C0 -...

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  9. The number of terms in the expansions of (1+3x+3x^2+x^3)^6, (x+y-z)^16...

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  10. (1+x)^n = sum(r = 0)^(n) Cr x^r then match the following

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  11. (1+x)^n = sum(r = 0)^(n) Cr x^r then match the following

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  12. Assertion (A): In the expansion of (1+x)^n, three consecutive terms a...

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  13. Assertion (A) : In the (1+x)^50, the sum of the coefficients of odd po...

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  14. If ab ne 0 and the sum of the coefficient of x^7 and x^4 in the expans...

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  15. Coefficient of x^3y^4z^2 in (2x-3y+4z)^9 is

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  16. Coefficient of x^18 in (x^2 + 1)(x^2 + 4)(x^2 + 9)….(x^2 + 100) is

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  17. If the middle term in the expansion of (1+x)^(2n) is the greatest term...

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  18. If 2^2006 - 2006 divided by 7, the remainder is

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  19. The greatest coefficient in ((x^(3//2)y)/(2) + (2)/(xy^(3//2)))^12 is

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  20. The term independent of x (x gt 0 , x ne 1) in the expansion of [((x+...

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