Dean, Gabrielle, and Kevin, who all work at the same large company, have received the 'Employee of the Month' award this month. As a result, their names will be published in the company newsletter. In how many different orders could they be listed in the newsletter?

Question

orders

Answer 1

There are 3 people, so we can start with 3 choices for the first spot. After one person is listed, there are only 2 left for the second spot, and then only 1 left for the last spot. Therefore, the total number of different orders they could be listed in is:

3 x 2 x 1 = 6

So there are 6 different orders they could be listed in the newsletter.

Answer 2

the answer to A florist is working on a wedding bouquet that uses 5 different types of flowers. In how many different orders can the various types of flowers be added to the bouquet?

orders

Answer 3

There are 5 different types of flowers to add to the bouquet. We can start with 5 choices for the first flower to add, then 4 choices for the second, 3 choices for the third, 2 choices for the fourth, and 1 choice for the last. Therefore, the total number of different orders the flowers could be added to the bouquet is:

5 x 4 x 3 x 2 x 1 = 120

So there are 120 different orders the flowers could be added to the bouquet.