Jeanine Baker makes floral arrangements. She has 17 different cut flowers and plans to use 4 of them. How many different selections of the 4 flowers are​ possible?

Answer 1

To find the number of different selections of 4 flowers out of 17, we can use the combination formula:

C(n, r) = n! / (r!(n-r)!)

Where n is the total number of items (17 flowers) and r is the number of items to be chosen (4 flowers).

C(17, 4) = 17! / (4!(17-4)!)
C(17, 4) = 17! / (4!13!)
C(17, 4) = (17*16*15*14) / (4*3*2*1)
C(17, 4) = 2380

Therefore, there are 2380 different selections of 4 flowers out of the 17 available.