- Thread starter
- #1

#### lfdahl

##### Well-known member

- Nov 26, 2013

- 744

here´s my (unsolved) problem. I´d really appreciate a thorough answer.

10 different persons are to be assigned to 5 different tasks:

Every person must have exactly one assignment, and a task can (of course) be assigned to more than one person. A possible combination could be:

task no 1: 3 persons

task no 2: 1 person

task no 3: 4 persons

task no 4: 1 person

task no 5: 1 person

Here: All 10 persons have exactly one assignment.

But: not all tasks need be assigned: For example task no. 3 can be assigned to all 10 persons, leaving 0 persons for the other 4 tasks. So another possible combination is:

task no 1: 0 persons

task no 2: 0 persons

task no 3: 10 persons

task no 4: 0 persons

task no 5: 0 persons

How many possible combinations are there???

Thankyou in advance for any help on this.

Best regards,

Lars/lfdahl