Colleges in Noida

Yes. You may apply for Amity University. You will surely get a seat in Amity:
http://www.amity.edu/admission

Amity University Noida offers various undergraduate and postgraduate courses in multiple streams and registrations for admission to Amity University usually commences in the month of January/February every year.
Go to Amity's website and fill the application form.

If you are getting PES-Bangalore, go for it. The above 4 institutes are good. But if we arrange them in preference order so it is like PES-Bangalore, SRM-Chennai and Amity-Noida, and VIT-Bhopal. Choose wisely. See their rankings, review, placements, faculty, etc.
Good luck.

Students securing 80% or more marks at 10+2 level are exempted from the selection process and admission of such candidates will be done only on the basis of Amity Admission Test.
Admission to B.Tech is done on the basis of AMITYJEE conducted by the university. Selection of the candidates for admission to various UG and PG courses is done on a direct basis as well as on the basis of a written test. The selection process comprises of an English language test followed by Group Discussion (GD)/ Personal interview (PI) Program based written test/creative/physical test is conducted for selected courses, wherever necessary.

They are different.
B.Sc (Hons.) in Statistics allows you to specialize in the branch of Mathematics that focuses on collecting, analyzing, and presenting a large number of numerical data. There are many practical applications for Statistics, including fields such as Science and Medicine, Government, Business and Education.
Bachelors in Statistics provides the students the fundamental knowledge and skills related to Probability, Mathematical Statistics, Data Analysis and Statistics Computing. BS in Statistics is very flexible and can lead to a career in business, industry or government.

Amity University is of course better. It offers so many opportunities to its students as compared to any other.

I don't have much idea about LAW in Amity Noida. But in UPES study pattern is quite good. I can't say much about the placements. Some students get good placements some go to reputated law firm with low packages.

I will prefer IPES. It placements are good as comparison to others. And study is also well mannered.