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### RE: Message sent from website

This letter and its reply may be of general interest. The reply is given in italics.

-----Original Message-----
From: Tamaghna Kumar Banerjee
Sent: Saturday, February 19, 2005 1:59 AM
Subject: Message sent from website

query: I am a 12pass student & about to write the IITJEE 2005.I want to know ,how can I join others in cracking new problems here (I am a new user of 123 & I see all the problems already solved).

The most recent problem is not solved. You can type your solution in .doc file and email us at mail@123iitjee.com along with your name, class, school/college and place.

I also want to know whether the pattern of IITJEE 05 mains (10 ques. of 2 marks & 10 of 4 marks) going to change or not.

JEE is known for surprises, hence nothing can be said for sure. Be prepared for anything.

### Sum of the coefficients in the expansion of $(x+y)^n$ ....

If the sum of the coefficients in the expansion of $(x+y)^n$ is 4096, then the greatest coefficient in the expansion is _ _ _ _ . Solution $C_0 + C_1 + C_2 + C_3 + ......................... + C_n =4096$ $\therefore 2^n = 4096 =2^{12}$ $\Rightarrow n = 12$ Greatest coefficient = ${}^{12}{C_6} = 924$