Question

15 different tasks are assigned to 8 different people. There are no restrictions on the number of tasks that can be given to any one person. How many ways are there to assign the tasks? Note that who gets which task is important.

Answer 1

`3.52 * 10^(13)`ways

Explanation:

Since 1 task can be assigned to 1 person, we can start by assigning people to the task. There are 15 different task, so at the first task there are 8 choices, at the 2nd task there are also 8 choices, and so on. There's also the fact that these tasks are all different.

Therefore the total number of way to assign 8 people to 15 tasks is

`8^15 = 3.52 * 10^(13)` ways