Consumption and Real Estate
What is the solution to this math problem?
Question : What is the solution to this math problem?
In furnishing their new office space, a company allows each employee to select a desk, a chair and a bookcase or file cabinet based on personal preference. There are two desk models, 3 different chairs, 2 styles of file cabinet and 4 bookcase styles to choose from. Given these possibilities, how many different office configurations are there for each employee to choose from?
furnished office space
Best answer:
Answer by Brian D
multiply the choices …
2*3*2*4 = 48 choices
Given
Desk: 2 models
Chair: 3 models
File Cabinet: 2 styles
Bookcase: 4 styles
Assuming that each employee will take one style of each.
There are therefore 2*3*2*4=48 different styles to choose from.
Why? Read fundamental counting principal.
Now, assuming that employee can choose not to have everything it offered.
The equation will be 3*4*3*5-1=179 choices.
Where +1 represent choosing nothing. Why do I minus 1? Because there is one possibility that an employee chooses nothing.