B.Com

You will definitely get admission in both BCom and BCom (Hons) in few DU affiliated college.

Hello
Their are many courses .
Risk Analysis & Insurance Planning, Retirement Planning & Employee Benefits, Investment Planning, Tax Planning & Estate Planning, International Post Graduate Diploma in General Insurance , International Post Graduate Diploma in Risk Management and cost analysis.

Yes you can apply for online and offline modes both for B.Com(Hons). It will start from 1st of June 2016. You can visit the DU website and can apply there.

If you are planning to study up to graduation only then you may face challenges in job search in comparison to regular BCom. However, if you are planning to do post graduation, recruiter will look at your PG degree not UG degree.

Syllabus is given below.
FIRST YEAR
GROUP-A (Business Administration)
GROUP-B (Accounts & Law)
GROUP-C (Applied Business Economics)
SECOND YEAR
GROUP-A (Business Administration)
GROUP-B (Accounts & Law)
GROUP-C (Applied Business Economics)
THIRD YEAR
GROUP-A (Business Administration)
GROUP-B (Accounts & Law)
GROUP-C (Applied Business Economics)
Details Syllabus > http://www.dbrau.ac.in/syllabus/REVISED SYLLABUS FOR UNDER GRADUATE/BCOM PDF/BACHELOR OF COMMERCE _B.Com.pdf

do commerce without maths as your 5 subjects are
english
business studies
economics
accounts
last is optional take physical ,painting,psycology etc