# In how many different ways can a pair of dice be rolled to obtain a total of 10?

Apr 25, 2017

3

#### Explanation:

The highest number on a single "die" is 6.

Since we want to get a total of 10 on the roll, we need to subtract from 10 every value possible on a single "die".

So,

$10 - 6 = 4$ Combination 6 and 4.

$10 - 5 = 5$ Combination 5 and 5.

$10 - 4 = 6$ Combination 4 and 6.

Once we reach

$10 - 3 = 7$

Realize that 7 is not a number that we have. We can't roll a combination of 3 and 7. Therefore, we have reached all of our possibilities.

3 Possibilities.