Suppose you roll three sixsided dice How many permutations a

Suppose you roll three six-sided dice. How many permutations are there for rolling three dice? How many combinations are there for rolling three dice? What is the range of total values when you roll three dice and add their face values together? What is the probability of rolling each specific total when rolling three dice?

Solution

1) For permutations positions really matter so as there are 6*6*6 outcomes and by considering positions we can arrange each out come in 3! ways

permutations = 6*6*6*3! = 6^4 = 1296

2) Combinations positions not matter

There are 216 (6*6*6) possible outcomes when you roll three dice from 1-1-1 to 6-6-6.

3) All possible sums falls between the range of 3 and 18

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