Hi Aspirant

All IITs and NITs usually take admission through JOSAA counselling.There would be enormous number of choices.Colleges which doesn't take admission on the basis of JEE they are not listed in it.They have an entrance examination.

But students seeking admission in IITs/NITs JOSAA is self sufficient.

To know more about JOSAA visit the link given below:

https://engineering.careers360.com/articles/josaa-counselling

All the best.