# How do you determine the number of ways a computer can randomly generate two distinct integers whose sum is 8 from 1 through 12?

##### 1 Answer

Feb 28, 2018

7

#### Explanation:

You have to check each possibility for the first integer, and find what the second integer must be to match the sum

1 : the second must be 7 : (1,7)

2 : the second must be 6 : (2,6)

3 : the second must be 5 : (3,5)

4 : the second must be 4 : (4,4)

5 : the second must be 3 : (5,3)

6 : the second must be 2 : (6,2)

7 : the second must be 1 : (7,1)

8 or more : impossible