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.

Step-by-step 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; $^{n} C_{r}=\frac{n !}{(n-r) ! r !}$.

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 $^{13} C_{7}=\frac{13 !}{(13-7) ! 7 !} = \frac{13 !}{(6) ! 7 !} = 1,716.$

So a total of 1,716 selections are possible.