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Let X=(\ ^(10)C1)^2+2(\ ^(10)C2)^2+3(\ ^...

Let `X=(\ ^(10)C_1)^2+2(\ ^(10)C_2)^2+3(\ ^(10)C_3)^2+\ ddot\ +10(\ ^(10)C_(10))^2` , where `\ ^(10)C_r` , `r in {1,\ 2,\ ddot,\ 10}` denote binomial coefficients. Then, the value of `1/(1430)\ X` is _________.

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Let X=(^(10)C_(1))^(2)+2(^(10)C_(2))^(2)+3(^(10)C_(3))^(2)+...+10(^(10)C_(10))^(2) where ^(10)C_(r),r in{1,2,;10} denote binomial coefficients.Then,the value of (1)/(1430)X is

"^10(C_0)^2 + "^10(C_1)^2 + "^10(C_2)^2 + ...... + ( "^10C_9)^2 + ( "^10C_10)^2=

^10(C_(0))^(2)-^(10)(C_(1))^(2)+^(10)(C_(2))^(2)-......-(^(10)C_(9))^(2)+(^(10)C_(10))^(2)=

Evaluate ""^(10)C_1 + ""^(10)C_2 + ""^(10)C_3 + ………+""^10C_10

Find the sum ^10C_(1)+^(10)C_(3)+^(10)C_(5)+^(10)C_(7)+^(10)C_(9)

Prove that ^10C_(1)(x-1)^(2)-^(10)C_(2)(x-2)^(2)+^(10)C_(3)(x-3)^(2)+...-^(10)C_(10)(x-10)^(2)=

Evaluate : 2^(10)C_(0)+(2^(2).^(10)C_(1))/(2)+(2^(3).^(10)C_(2))/(3)+ . . .+(2^(11).^(10)C_(10))/(11)

" 6.Find the value of "^(10)C_(5)+2*^(10)C_(4)+^(10)C_(3)

MOTION-THEORY AND EXERCISE BOOK-EXERCISE - 4 (LEVEL -II)
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  9. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  18. In a high school, a commintee has to be formed from a group of 6 boys ...

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  19. The number of 5 digit numbers which are divisible by 4, with digits ...

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  20. Let X=(\ ^(10)C1)^2+2(\ ^(10)C2)^2+3(\ ^(10)C3)^2+\ ddot\ +10(\ ^(10)C...

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