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; [tex]^{n} C_{r}=\frac{n !}{(n-r) ! r !}[/tex].
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, [tex]n = 13[/tex] and [tex]r=7[/tex].
So [tex]^{13} C_{7}=\frac{13 !}{(13-7) ! 7 !} = \frac{13 !}{(6) ! 7 !} = 1,716.[/tex]
So a total of 1,716 selections are possible.
