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The sum of ""^21C0+""^21C1+""^21C2+...+"...

The sum of `""^21C_0+""^21C_1+""^21C_2+...+""^21C_10` is equal to ______.

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The value of (^21C_1-^10C_1)+(^21C_2-^10C_2)+....+(^21C_(10)-^10C_(10)) is

""^(25)C_(22)- ""^(24)C_(21)= …………

25. The value of (21_C_1- 10_C_1) +(21_C_2- 10_C_2)+ (21_C_3- 10_C_3) +...............+(21_C_10- 10_C_10)

25. The value of (21_C_1- 10_C_1) +(21_C_2- 10_C_2)+ (21_C_3- 10_C_3) +...............+(21_C_10- 10_C_10)

The value of (.^(21)C_(1) - .^(10)C_(1)) + (.^(21)C_(2) - .^(10)C_(2)) + (.^(21)C_(3) - .^(10)C_(3)) + (.^(21)C_(4) - .^(10)C_(4)) + … + (.^(21)C_(10) - .^(10)C_(10)) is (A) 2^(21) - 2^(11) (B) 2^(21) - 2^(10) (C) 2^(20) - 2^(9) (D) 2^(20) - 2^(10)

If A=[(1,0),(1//2,1)] , A^(400) is equal to

The value of (21_C_1-10_C_1)+(21_C2-10_C_2)+ (21_C_3-10_C_3) + (21_C_4-10_C_4) + ...........(21_C_10- 10_C_10) is:

The value of (21_C_1-10_C_1)+(21_C2-10_C_2)+ (21_C_3-10_C_3) + (21_C_4-10_C_4) + ...........(21_C_10- 10_C_10) is:

The value of (21_C_1-10_C_1)+(21_C2-10_C_2)+ (21_C_3-10_C_3) + (21_C_4-10_C_4) + ...........(21_C_10- 10_C_10) is:

A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. The number of terms in the expansion of (1+x^(1/5))^55 which are free ...

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  2. If n is even then the coefficient of x in the expansion of (1+x)^n*(1-...

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  3. The sum of ""^21C0+""^21C1+""^21C2+...+""^21C10 is equal to .

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  4. The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...

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  5. The number of terms in the expansion of (1+2x+x^2)^n is :

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  6. The number of terms in the expansion of (1+7sqrt(2x))^9+(1-7sqrt(2x))^...

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  7. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

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  8. The largest coefficient in the expansion of (1+x)^24 is

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  9. 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

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  10. The sum of the series ""^20C0+""^20C1+""^20C2+...+""^20C9 is =

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  11. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

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  12. If C(r) stands for ""^(n)C(r), then the sum of the series (2((n)/(2))!...

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  13. If pa n dq are ositive, then prove that the coefficients of x^pa n dx^...

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  14. The number of dissimilar terms in the expansion of (a+2b+3c)^8 is

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  15. In the expansion of (1+x)^(2m)(x/(1-x))^(-2m) the term independent of ...

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  16. State true or false : The integral part of (8+3sqrt7)^20 is odd.

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  17. State true or false : In the expansion of (x^2/y+y^2/x)^15 there is no...

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  18. State true or false: In the expansion of (1+2x+x^2)^9 there is exactly...

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  19. State true or false : In the expansion of (x+1/x)^13 every term is a f...

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  20. State true or false : If f(x)=(x+1/x)^(2n)+(x-1/x)^(2n) the f(x) is a ...

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