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The value of {:((30), (0))((30), (10))-(...

The value of `{:((30), (0))((30), (10))-((30), (1))((30),( 11)) +((30), (2))((30), (12))+....+((30), (20))((30), (30)):}`

A

`""^(60)C_(20)`

B

`""^(30)C_(10)`

C

`""^(60)C_(30)`

D

`""^(40)C_(30)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Let S = sum _(r=1)^(30) (""^(30+r)C_(r) (2r-1))/(""^(30)C_(r)(30+r)),K=sum_(r=0)^(30) (""^(30)C_(r))^(2) and G=sum_(r=0)^(60) (-1)^(r)(""^(60)C_(r) )^(2) The value of K + G is

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