Final answer:
The number of ways to permute the objects (a, b, c, d, e) is calculated as 5 factorial (5!) which is equal to 120 different permutations.
Step-by-step explanation:
To determine the number of ways we can permute the objects (a, b, c, d, e), we calculate the factorial of the number of objects. Since there are five objects, we need 5! (five-factorial) which means multiplying all whole numbers from 5 down to 1. Therefore, 5! = 5 × 4 × 3 × 2 × 1.
Calculation
5! = 120
Thus, there are 120 different permutations possible for permuting the objects (a, b, c, d, e).