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CGP EDU Academic Team
Published on: August 14, 2026
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 ∈ {1, 2, ......., 10} denote binomial coefficients. Then the value of 
X is _______ .
Text Solution
Verified by ExpertsThe correct answer is:
646
(646)
X = 
= 10 . 19 C 9
Now 
= 
= 19 × 34 = 646
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