Question

a lumber yard offers boards based on wood species, size, and grade. if a customer can choose among 2 species, 3 sizes, and 4 grades, how many different boards could the customer choose? provide your answer below:

Explanation:

Step1: Apply the fundamental counting principle

The fundamental 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 the total number of ways to do all three things together is \(m\times n\times p\). Here, \(m = 2\) (number of species), \(n=3\) (number of sizes), and \(p = 4\) (number of grades).

Step2: Calculate the product

We calculate \(2\times3\times4\). First, \(2\times3=6\), then \(6\times4 = 24\).

Answer:

24