Dear Student,
Yes you can take admission directly in most of the private colleges, if you are looking for some top private colleges then you might be pay some extra fee in the name of donation especially for the CSE seat, and if you go to some average college then you can get easily. Here is the name of some colleges you can consider before taking admission in any college.
And some other you may consider but these are some good.
hope you find it useful, good luck :)
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