How many outcome sequences are possible when a die is rolled four times

J
240 points

How many outcome sequences are possible when a die is rolled four times, where we say, for instance, that the outcome is 3, 4, 3, 1 if the first roll landed on 3, the second on 4, the third on 3, and the fourth on 1?

How many
jeffp

8.7k points

This is a counting problem and there are 6 possibilities for each roll of the die,

$$6^4=1296$$

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