Question

A gardener has 3 different plants that she wants to plant in a flower garden. She decides to put 3 plants in the front row of the garden. How many different groups of plants can be selected for the front row of the garden?

a. 3
b. 6
c. 9
d. 27

Answer 1

The number of different arrangements for three different plants in the front row of a garden is found by calculating the permutations, which result in 6 possible arrangements.

Step-by-step explanation:

The question asks about the number of different groups of plants that can be selected for the front row of a garden given three different plants to choose from. Here, we are dealing with permutations, as the order in which the plants are placed matters.

There are 3 choices for the first spot, 2 for the second, and 1 for the third. Thus, the total number of different possible arrangements or permutations is calculated using the multiplication principle: 3 × 2 × 1 = 6.

So, the correct answer to how many different groups of plants can be selected for the front row of the garden is b. 6.