JEE Advanced Model Paper 2 with solutions for online practice

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)

n+r

1.3.5.....(2n+1).2n

C) (n+r+1)Cr−1

III) 2nCn

1.3.5.....(2n+1).2n

D) (n+r+1)Cr−1

IV) (n−1)Cn−r

S) (

‌

Cr)

Question : 54 of 54

Marks: +1, -0

The number of ways of distributing n coins to r members such that eachmember can receive any number of coins is

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