Question

Jeanine Baker makes floral arrangements. She has 11 different cut flowers and plans to use 7 of them. How many different selections of the 7 flowers are​ possible?

Answer 1

Answer:

330 different possible selections are there.

Step-by-step explanation:

There is a total of 11 cut flowers.

Jeanine Baker has to choose 7 flowers among the 11 flowers.

The formula for choosing r numbers from n numbers is defined by $^{n}C_{r} = \frac{n!}{r!\times(n - r)!}$, n > r.

From 11 flowers 7 flowers can be chosen in $^{11} C {7} = \frac{11!}{7!\times4!} = \frac{8\times9\times10\times11}{2\times3\times4}.$ = 330 ways.

There are 330 possible ways to choose 7 flowers from 11 flowers.