Accounting & Commerce

I will give you my views based on the assumption that DU is the only option for you.
B.Com (h) opens up accounting avenues. You can pursue CA along with it but then you will have to do a correspondence course as the new rule of DU does not allow regular B.Com (h) students to pursue CA too.
You must have heard about the Big4: KPMG, Delloit, E&Y, PwC. If you dream of working in these audit companies then this is the apt choice.
My personal advice would be to opt for a regular course if you are getting good colleges like SRCC,LSR or so. Believe me the experience you get there is unmatched and you will cherish it forever.
Economics (hons) does not have accounts in its syllabus. You will get to read subjects like Macro eco, Micro eco, International eco, Stats, Maths, History of Indian eco, environmental eco etc. If you want to do research based work or policy making and/or wish to become a college professor then this is the right choice. Masters in economics is the most preferred choice after this course which is also mandatory for becoming a professor or getting into Indian Economic Services (IES).
There are three other courses that you have not mentioned but I think they might interest you. BBE, BBS, and BFIA. DU conducts an entrance exam for admission to these courses. The final merit list is drawn on the basis of Boards exam marks, entrance test score (BBE) + GD-PI score (BBS, BFIA).

Of course, it would be good to get any additional qualification in distance if not in regular, this will also ensure to prepare for government jobs which are issued based on PG.
I completed M.Com in distance mode but what makes the difference is not that regular or distance but our interest to learn the subject. If you are eagered to acquire knowledge and want to be called as post-graduate in a particular subject, then I would strongly recommend you to go for it. You don't have to mention anywhere that you did your M.Com in distance mode including your resume. People ask- what is your qualification, they don't bother about that how you did it whether regular or distance but employer will definitely asses your knowledge on the subjects at the time of interview. You know, this is the reason that there are few employees just done graduation or PG from distance placed in good companies while PG from regular are still in search for good job.

M.Com or Master of Commerce is a Post Graduate Academic master degree in the field of commerce. The program is a 2 year course and is offered in English or Hindi depending upon the Institution. The program is available in various subjects whose material focuses on Commerce, management and economics related subjects. Programs usually consist of thesis component or may be exclusively research based. The course strengthens the theoretical, analytical and applied knowledge base of Commerce. It is also available through correspondence or distance learning mode.
Eligibility:- M.Com requires a candidate to have passed B.Com. Some Institutes put the age limit to 20. However, it is not applicable everywhere. Admission is at times done through an entrance test in certain institutions.
Master of Commerce Subjects:- Based on specialization, graduates are typically employed in fields related to their degree, focus such as :-
1) Financial Services
2) Marketing
3) Project Management
4) General Management
5) Business Consulting
Master of Commerce Specialisation.
1) Master degree in Business Administration
2) Master degree in Finance
3) Master of Commerce in International Business Operations
4) Master degree in Accounting
5) Master degree in Economics
6) Master degree in Statistics
7) Master degree in Marketing
Who can pursue or who should pursue:-
M.Com can be pursued by any commerce graduate who wants to attain higher education or wants to strengthen higher knowledge base.
Advantages of M.Com
M.Com holders can move ahead with a considerable difference in academics, research and corporate world.
There is an ample scope of direct recruitment into the field of commerce for such aspirants.Jobs for M.Com:-
With the growth into business world and it's expanding horizons there is growing requirement for qualified professionals to look after the day to day business operations.
Employment Areas:-
Banks
Budget Planning
Business Consultancies
Educational institutions
Foreign Trade
Industrial Houses
Inventory Control
Investment Banking
Marketing
Merchant Banking
Public Accounting Firms
Working Capital Management
Policy Planning
Treasury and Forex department
Job Profiles:-
Auditors
Book Keepers
Budget Analysts
Business Consultants
Chartered Management Accountants
Chief Financial Officers
Finance Managers
Financial Analysts
Human Resource Managers
Investment Analysts
Marketing Managers
Stock Brokers
Teacher/Lecturers
The aspirants can choose the career of their choice.