Answer:
a) 1,679,616 sequences
b) 6,561 sequences
c) 46,656 sequences
Step-by-step explanation:
a) How many different sequences are possible?
For each of the 8 dice, there are 6 possible outcomes. Therefore, the total number of difference sequences is:
b) How many different sequences consist entirely of even numbers?
For each of the 8 dice, there are 3 possible even outcomes. Therefore, the total number of difference sequences is:
c) How many different sequences are possible if the first, third, and fourth numbers must be the same?
If the first, third and fourth numbers are fixed, there are only 5 "free" positions, while there are 6 possible outcomes for the fixed positions since they have to be the same