Answer: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.