What is the difference between an Accounting major and a Marking or Human Resource major? Can a Marking or HR  major get Accounting jobs? ?

Huh?

I think you mean marketing, which is sort of like advertising. 

Despite them both being in the "business" field, marketing has nothing to do with accounting, which has to do with processing financial information for companies (or for individuals by doing their taxes).

Your conclusions regarding the differences between Marketing, Human Resources, and Accounting majors are far off base.  Of the 3 disciplines, Accounting is the most technical.  Those without courses through Advanced Accounting 1 & 2 would have a difficult time performing accounting work.  While there is certainly no law saying Marketing or HR people are not allowed to have accounting jobs, employers look for accountants to do such work. 

Marketing, not Marking.

Most people who want to hire accountants want to hire certified accountants, and you must take a significant number of accounting courses to qualify for the CPA exam.  So you would have to be an accounting major to do that.  It's unlikely you'd be hired as an accountant without that coursework.

Marketing is more about advertising/promotion, and human resources is more about personnel and management.  They are all different fields of study and very different jobs.

Marketing. Those are very different skill sets. Accountant sit behind computers crunching numbers all day. Marketing and Human Resource people work with other people to figure out how to market a product, or to do the hiring and firing, administer benefits to employees, etc. If you're an introvert, you might be happiest as an accountant. If you're an extrovert, you'd be miserable as an accountant. No, people with a marketing degree are not going to be competitive against people who have majored in Accounting.