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The value of r for which .^(20)C(r ), ...

The value of r for which
`.^(20)C_(r ), .^(20)C_(r - 1) .^(20)C_(1) + .^(20)C_(2) + …… + .^(20)C_(0) .^(20)C_(r )` is maximum, is

A

20

B

15

C

11

D

10

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The correct Answer is:
A
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ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE (J-M)
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  9. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

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  10. Let (x + 10)^(50) + (x - 10)^(50) = a(0) + a(1) x + a(2)X^(2) + ….. +...

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  11. Let Sn=1+q+q^2 +?+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n If...

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  12. A ratio of the 5^(th) term from the beginning and from the end in the...

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  13. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

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  14. The sum of the series 2.""^(20)C0+5.""^(20)C1+8.""^(20)C2+11.""^(20)C(...

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  15. If some three consecutive coefficeints in the binomial expanison of (x...

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  16. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

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  17. The smallest natural number n, such that the coefficient of x in the e...

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  18. The cofficient of x^(18) in the product (1 + x) (1 - x)^(1) (1 + x + x...

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  19. If .^(20)C(1)+(2^(2)) .^(20)C(2) + (3^(2)).^(20)C(3) +......+(20^(2))....

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  20. The term independent of x in the expansion of ((1)/(60) - (x^(8))/(81)...

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