Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?

24 different ways

Step-by-step explanation:

( 1 ) We can apply factorial in this case. We have 4 elements, melon, apple, orange, and peach. The number of ways with which we have to arrange these fruits should be 4! ( again, there are 4 elements ).

4! = 4 3 2 1

4 3 2 1 = 12 2 1

12 2 = 24 different ways

( 2 ) The first method was the simpler approach. You can confirm this answer through another method...simply list out the different possibilities, altering their order in a specified manner.

{ melon, apple, orange, peach }

{ melon, apple, peach, orange }

{ melon, peach, apple, orange }...and keep on trying different combinations!