These problems involve a jelly bean factory that makes 5 different colorsof jelly beans: blue, green, orange, purple and red. They randomly combine the jellybeans of different colors into bags of 10 jelly beans eachl. Required:
a. How many different color combinations of jelly beans are possible for the bags?
b. How many different bags of 10 jelly beans are possible if there are at most 4 purple available?(The factory is almost out of purple jelly beans.)
c. How many different bags of 10 jelly beans are possible if there are at most 4 purple and at most 4 orange?
d. You need to get jelly beans for your 7 friends, one for each. But to keep the peace, you need to give them all the same color jelly bean. Since the colors of the jellybeans are random (you don’t get to pick) how many individual jelly beans must you have be certain that you have at least 7 that are the same color?