Answer and Step-by-step explanation:
To determine the number of ways Karly can arrange the four posters on her four walls, we can use the concept of permutations.
Since Karly wants to put one poster on each wall, we can think of it as a problem of arranging four distinct objects in four distinct positions.
Let's break it down step by step:
1. Identify the number of objects to arrange.
- Karly has four posters.
2. Identify the number of positions.
- Karly has four walls to hang the posters on.
3. Calculate the number of arrangements using permutations.
- To find the number of ways to arrange the posters, we use the formula for permutations, which is n! (n factorial).
- In this case, n is the number of posters, which is 4. So, 4! = 4 x 3 x 2 x 1 = 24.
Therefore, Karly can arrange the four posters in 24 different ways on her four walls.