How many paths are there from C to D on the grid shown, if every step must be down or to the right?
Hello,
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!