Question

a popular brand of pen is available in 13 colors and 2 writing tips. how many different choices of pens do you have with this brand? there are \\(\square\\) different choices of pens with this brand.

Explanation:

Step1: Apply the fundamental counting principle

The fundamental counting principle states that if there are \(m\) ways to do one thing and \(n\) ways to do another thing, then there are \(m\times n\) ways to do both things. Here, \(m = 13\) (number of colors) and \(n=2\) (number of writing - tips).

Step2: Calculate the number of choices

We calculate the product \(13\times2\). Using basic multiplication, \(13\times2=(10 + 3)\times2=10\times2+3\times2=20 + 6=26\).

Answer:

\(26\)