To calculate the number of different ways Bobby can arrange 5 plants in a planter, you can use the concept of permutations.
Permutations represent the different ways to arrange a set of items in a specific order. The formula for permutations is n! / (n-r)!, where n is the total number of items and r is the number of items to be arranged.
In this case, Bobby has 5 plants to arrange in the planter, so n = 5. Since he wants to line up all 5 plants, r = 5 as well.
Using the formula for permutations:
5! / (5-5)!
= 5! / 0!
= 5! / 1
= 5 x 4 x 3 x 2 x 1 / 1
= 5 x 4 x 3 x 2 x 1
= 120
Therefore, Bobby can arrange the 5 plants in the planter in 120 different ways.
