Calculate the following permutations: In how many ways can 5 different diplomas be placed?

Solution:
1. We have 5 different diplomas and we want to find out in how many different ways they can be arranged.
2. The number of arrangements of n different items is given by the permutation formula n! (n factorial).
3. Calculate factorial of 5:
5! = 5 \times 4 \times 3 \times 2 \times 1
5! = 120
4. Therefore, the diplomas can be arranged in 120 different ways.