# 46. Rolling Three Dice Three fair, standard six-faced diceof different colors are rolled. Inhow many ways can thedice be rolled such that the sum of the numbers rolledis 10? (Mathematics Teacher calendar problem)

Question
3 views help_outlineImage Transcriptionclose46. Rolling Three Dice Three fair, standard six-faced dice of different colors are rolled. Inhow many ways can the dice be rolled such that the sum of the numbers rolled is 10? (Mathematics Teacher calendar problem) fullscreen
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Step 1

Given data

3 fair, six-faced dice are rolled

18 possible ways to get a sum of 10

(1,5,4), (4,5,1), (5,4,1) = 1+5+4 =10

(1,6,3), (3,6,1), (6,3,1) = 1+6+3 =10

(2,2,6), (2,6,2), (6,2,2) ...

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### Basic Probability 