Question

the carter family is selecting a furniture set. a furniture set has a bed, a desk and a dresser. there are 2 beds, 2 desks, and 2 dressers to select from. how many different furniture sets could they select?

Explanation:

Step1: Use the counting principle

The counting principle states that if there are \(m\) ways to do one thing, \(n\) ways to do a second thing, and \(p\) ways to do a third thing, then there are \(m\times n\times p\) ways to do all three things together. Here, \(m = 2\) (number of beds), \(n=2\) (number of desks), \(p = 2\) (number of dressers).

Step2: Calculate the number of furniture sets

We calculate \(2\times2\times2\).
First, \(2\times2=4\).
Then, \(4\times2 = 8\).

Answer:

\(8\)