A new company with just three employees, Alice, Bob and Cody, rents a floor of a building with 8 offices. How many ways are there to assign different offices to these three employees?Select one:a.None of the othersb.512c.24d.21e.336
Question
A new company with just three employees, Alice, Bob and Cody, rents a floor of a building with 8 offices. How many ways are there to assign different offices to these three employees?Select one:a.None of the othersb.512c.24d.21e.336
Solution
This is a permutation problem. The company has 8 offices and 3 employees. We want to know how many ways we can assign these offices to the employees.
The formula for permutations is P(n, r) = n! / (n-r)!, where n is the number of total items, and r is the number of items to choose.
In this case, n = 8 (the number of offices) and r = 3 (the number of employees).
So, P(8, 3) = 8! / (8-3)! = 876 = 336.
Therefore, there are 336 ways to assign different offices to these three employees.
So, the correct answer is e.336.
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