Three fair, standard six-faced dice of different colors are rolled. in how many ways can the dice be rolled such that the sum of the numbers rolled is 10?

The dice be rolled in 27 ways such that the sum of the numbers rolled is 10.

Step-by-step explanation:

We can get a sum of 10 in the following ordered pairs,

(1,3,6)

(2,3,5)

(2,2,6)

(2,4,4)

(3,1,6)

(3,2,5)

(3,3,4)

(4,1,5)

(5,2,3)

These pairs can be arranged each in 3 ways.

Therefore, 9× 3

= 27.

The dice be rolled in 27 ways such that the sum of the numbers rolled is 10.

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Step-by-step explanation: