Question

10 have volunteered to help with the preparations for a party. How many ways can Susan assign someone to buy​ beverages, someone to arrange for​ food, and someone to send the​ invitations? Assume that no person does two jobs.

Answer 1

The answer is 720 ways.

Explanation:

Total friends who volunteered = 10

Total number of jobs that have to be done = 3

Here order matters, so it is a permutation question.

We can use the formula nPr.

=
`(10!)/(7!)`

= 720 ways.

The second way to solve this is:

Susan can choose the first person to do a job in 10 ways

Then the second job can be done in 9 ways and the third in 8 ways.

Total becomes =
`10*9*8=720` ways