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C0C2 + C1C3 +C2C4+……..+C(n-2) Cn =...

`C_0C_2 + C_1C_3 +C_2C_4+……..+C_(n-2) C_n = `

A

`""^(2n)C_(n-2)`

B

`""^(2n)C_n`

C

`""^(2n)C_(n-1))`

D

`""^(2n)C_(2n -2)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - I
  1. If the coefficients ""^nC4, ""^nC5, ""^nC6 of (1 +x)^n are in A.P. the...

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  2. C0 + 2.C1 + 4.C2 + …….+Cn.2^n = 243 , then n =

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  3. 1/2. ""^nC0 + ""^nC1 + 2. ""^nC2 + 2^2. ""^nC3 + …….+ 2^(n-1) . ""^nCn...

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  4. ""^((2n + 1))C0 + ""^((2n+ 1))C1 + ""^((2n + 1))C2 + ……+""^((2n + 1))C...

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  5. ""^((2n + 1))C0 - ""^((2n+ 1))C1 + ""^((2n + 1))C2 - ……+""^((2n + 1))C...

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  6. ((1 + ""^nC1 + ""^nC2 + ""^nC3+…….+nCn)^2)/(1 + ""^(2n)C1 + ""^(2n)C2 ...

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  7. ""^21C0 + ""^21C1 + ""^21C2 + ……..+ ""^21C10 =

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  8. C0^2 + C1^2 + C2^2 + ………+C25^2 =

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  9. Prove that (""^(2n)C(0))^(2)-(""^(2n)C(1))^(2)+(""^(2n)C(2))-(""^(2n...

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  10. C0C2 + C1C3 +C2C4+……..+C(n-2) Cn =

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  11. If the coefficients of x^2 and x^4 in the expansion of (x^(1/3) + (2)/...

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  12. Sum of the coefficients of (1+ x/3 + (2y)/(3))^12

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  13. Sum of coefficients of x^(2r) , r = 1,2,3…. in (1+x)^n is

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  14. Sum of coefficients of terms of even powers of x in (1 - x + x^2 - x^...

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  15. Sum of coefficients of terms of odd powers of x in (1 - x + x^2 - x^3)...

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  16. The range of x of which the expansion ( 9 + 25x^2)^(-6//5) is valid is

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  17. If the expansion (4a - 8x)^(1//2) were to possible then

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  18. For |x| lt 1/2 , the value of the fourth term of (1 - 2x)^(-3//4) is

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  19. The coefficient of x^7 in (1 + 2x + 3x^2 + 4x^3 + …… "to " oo)

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  20. 1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6)...

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