Question

tammy is packing for a camping trip. there are 5 sleeping bags and 2 pillows to choose from. for the tent, tammy has 2 options. in how many different ways can tammy pick a set of camping gear that includes one of each item? ways submit

Explanation:

Step1: Apply the multiplication principle

The multiplication principle states that if there are \(m_1\) ways to do one thing, \(m_2\) ways to do a second thing, and \(m_3\) ways to do a third thing, then the total number of ways to do all three things together is \(m_1\times m_2\times m_3\). Here, \(m_1 = 5\) (number of sleeping - bag choices), \(m_2=2\) (number of pillow choices), and \(m_3 = 2\) (number of tent choices).

$$N=5\times2\times2$$

Step2: Calculate the product

First, calculate \(5\times2 = 10\), then \(10\times2\).

$$5\times2\times2=(5\times2)\times2=10\times2 = 20$$

Answer:

20