(a) We have three standard 6-sided dice, colored red, yellow, and green. In how many ways can we roll them to get a sum of 9? Th
e dice are colored so that a red 2, yellow 3, and green 4 is a different roll from red 3, yellow 4, and green 2. (b) We have 10 standard 6-sided dice, all different colors. In how many ways can we roll them to get a sum of 20?
I believe that there are 23 different ways to get a total of 20. Then we need to find the number of ways to get each of the 23 different ways. For instance, one way is 6 6 1-1-1-1- 1-1-1-1: 101 / (21-8) = 45 (different ways to get this result) 10 different dice are rolled, giving the 101 in the numerator since the 6 is used twice, divide by 21, since the 1 is used 8 times, divide by 8! Etc., etc., etc. Final answers, add all these results together. I'm not sure about part B! I'm sorry!!!
The relationship is proportional. The constant of proportionality is 20. It represents how many meters the horse runs per second per second. Equation is d=20t
