Question

1. you go to wal - mart to buy batteries. you can choose from everyready, duracell, or ray - o - vac. once you decide the brand, you then have to decide whether to get alkaline or nonalkaline batteries. finally, you must decide between aaa, aa, c, or d batteries. how many different kinds of batteries are available for you to buy?

Explanation:

Step1: Identify the number of choices for each category

• Brand: 3 choices (EverReady, Duracell, Ray - O - Vac)
• Type: 2 choices (alkaline, non - alkaline)
• Size: 4 choices (AAA, AA, C, D)

Step2: Use the multiplication principle of counting

The multiplication 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, \(m = 3\) (brands), \(n=2\) (types), and \(p = 4\) (sizes). So the total number of different kinds of batteries is \(3\times2\times4\)

Step3: Calculate the result

\(3\times2\times4=24\)

Answer:

24