JEE Advanced Model Paper 2 with solutions for online practice

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Answer Q - 52 , Q - 53 and Q - 54 by appropriately matching the information given in the three columns of the following table
Cofomn-I Column-II Column-Ill
A) C02+C12 + ..... + Cn2 I) 2npn P) (n+r−1)Cn
B) (n−1)Cr−1 II) ((n+r)Cr)
r
n+r
Q)
1.3.5.....(2n+1).2n
n!
C) (n+r+1)Cr−1 III) 2nCn R)
1.3.5.....(2n+1).2n
n!
D) (n+r+1)Cr−1 IV) (n−1)Cn−r S) (
n
‌
Cr
)
r
n
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Question : 52
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