How many paths are there from C to D on the grid shown, if every step must be down or to the right?
Since with each step you are only going down or right (not backwards) you need to travel a total distance of 6 down and 4 right. So this question is basically asking, "How many distinct ways are there of arranging 6 stars and 4 bars?" So I think the answer would be 10 choose 4 = 210 ways using stars and bars (you may want to look that up yourself.)
Also if anyone wants to take the time out please answer my question here: https://web2.0calc.com/questions/please-help_81768 (I don't know if this is soliciting if it is then sorry.)
Hope that helps!