Answer:
The answer to your question is
or 
Step-by-step explanation:
Expression 
Process
1.- Change the division to a multiplication

2.- Factor


3.- Simplify (cancel the terms that are repeated in both numerator and denominator)

or 
This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm
The sum of these positive integers is 505