Chapter 8.5, Problem 11E

To determine

To find: the number of ways in which a computer can randomly generate one or more such integers, or pairs of integers, from 1 through 15.

Answer to Problem 11E

The number of ways in which computer can randomly generate one or more such integers are 10.

Explanation of Solution

Given information:

An pair of distinct integers whose sum is 8.

Calculation:

Consider the integers from 1 to 15 are,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

Then 10 integers from 1 to 15, whose sum is 20

  $\left(5,15\right),\left(6,14\right),\left(7,13\right),\left(8,12\right),\left(9,11\right),\left(10,10\right),\left(11,9\right),\left(12,8\right),\left(13,7\right),\left(14,6\right),\left(15,5\right)$

Hence, the number of ways in which computer can randomly generate one or more such integers are 10.