Question

jeanine Baker makes floral arrangements. She has 13 different cut flowers and plans to use 7 of them. How many different selections of the 7 flowers are​ possible?

Answer 1

A total of 1,716 selections of the 7 flowers are possible.

Explanation:

Step 1:

There are 13 flowers from which Jeanine Baker plans to use 7 of them.

To determine the number of selections that are possible we use combinations.

The formula for combinations is;
`^(n) C_(r)=(n !)/((n-r) ! r !)`.

Step 2:

In the given formula, n is the total number of options and r is the number of options to be selected.

For this question,
`n = 13` and
`r=7`.

So
`^(13) C_(7)=(13 !)/((13-7) ! 7 !) = (13 !)/((6) ! 7 !) = 1,716.`

So a total of 1,716 selections are possible.