Jeanine Baker makes floral arrangements. She has 18 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are​ possible?

Answer 1

To find the number of different selections of 6 flowers from the 18 available flowers, we can use the combination formula:

C(n, k) = n! / (k! * (n - k)!)

where n is the total number of items to choose from, and k is the number of items to choose.

In this case, n = 18 (total number of flowers) and k = 6 (number of flowers to choose).

C(18, 6) = 18! / (6! * (18 - 6)!)
C(18, 6) = 18! / (6! * 12!)
C(18, 6) = (18 * 17 * 16 * 15 * 14 * 13) / (6 * 5 * 4 * 3 * 2 * 1)
C(18, 6) = 18564

Therefore, there are 18,564 different selections of 6 flowers possible from the 18 available flowers.