Answer:
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 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 1
4 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 1 = 12 [tex]*[/tex] 2 [tex]*[/tex] 1
12 [tex]*[/tex] 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!
