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If (""^30C(1))^(2)+2(""^30C(2))^(2)+3(""...

If `(""^30C_(1))^(2)+2(""^30C_(2))^(2)+3(""^(30)C_(3))^(2)+...+30(""^(30)C_(30))^(2)=(alpha 60!)/((30!)^(2))` then `a` is equal to

A

10

B

60

C

15

D

30

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If the value of the sum 29(.^(30)C_(0))+28(.^(30)C_(1))+27(.^(30)C_(2))+…….+1(.^(30)C_(28))+0.(.^(30)C_(29))-(.^(30)C_(30)) is equal to K.2^(32) , then the value of K is equal to

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