What are the best carreer in engineering as far as based on research and please state some companies that recruit for research oriented0 jobs and oppurtuinities available in govt(research

My rank is 29k, General, should I opt for any state college cse branch or some Nits in which in which I am getting ECE , chemical, mechanics etc....

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Can class 9th students study syllabus classof 11th

Sum of series 2[n/2] ! [n/2]!/ n! [2Co-2C2+3C2....+[-1]^n[n+1]2Cn] where n is an even positive integer. Kindly provide solution of this question and how to generalise this. How do we know that which expansion will give this?

I m foreigner,How much mark i need to get into IIT??