Question

Three students-Andy, Beth, and Cara- must arrange their desks in a row in their classroom. Your job is to figure out how many different arrangements they can make. Make a list of all possible arrangements. How many arrangements are possible

Answer 1

To determine the number of different arrangements for Andy, Beth, and Cara's desks, we multiply the number of choices for each position (3 × 2 × 1) resulting in 6 possible arrangements, which are listed out.

Step-by-step explanation:

The question involves determining the number of different arrangements that three students, Andy, Beth, and Cara, can make when arranging their desks in a row. To find the possible arrangements, we use a simple counting technique where for the first position there are 3 choices (Andy, Beth, or Cara), for the second position there are 2 remaining choices, and for the last position, there is 1 remaining choice. The total number of possible arrangements is the product of these choices, so we calculate 3 × 2 × 1 = 6.

Here is a list of all possible arrangements:

1. Andy - Beth - Cara
2. Andy - Cara - Beth
3. Beth - Andy - Cara
4. Beth - Cara - Andy
5. Cara - Andy - Beth
6. Cara - Beth - Andy

Thus, there are 6 possible arrangements for the students' desks.