Jake is ordering a flower arrangement. The florist has 15 types of flowers. How many different flower

arrangements are possible if Jake can choose 4 different types of flowers for the arrangement?


Please help me with this math problem. I'm not exactly how to solve this.

In a simple choice flow:

The first choice he can choose from 15 different flowers.
The second choice (assuming he can't choose the same flower again) he only has 14 to choose from.
The third choice similarly has 13 options.
The 4th choice has 12 options.

As he can choose any combination for each of these the number of possible combinations are the product of all of these numbers i.e.

15*14*13*12 = 32,760

if you can have all four flours the same then 15*15*15*15=50625
if all four flours must be different than 15*14*13*12=32760