Problem - Suppose you throw four dice, one after the other. Answer the following:
a) How many ways are there so that all dice show a different number?
b) How many ways are there so that two of the dice are the same and the other two are different?
c) How many ways are there so that all dice show an even number?
d) How many ways are there so that the first two dice are equal to 7 and the last two are different?
e) How many ways are there so that half of the dice are even and the other are odd?