Question

the bawden family is shopping for a new television. they are making their decision based on brand and size. the family has 20 possible outcomes for choosing a television. which is a possible number of brands and sizes that the family has to choose from? 10 brands and 10 sizes 5 brands and 4 sizes 4 brands and 16 sizes 2 brands and 20 sizes

Explanation:

Step1: Recall the multiplication principle

The total number of outcomes is the product of the number of brands (let's say \(b\)) and the number of sizes (let's say \(s\)), so \(Total = b\times s\).

Step2: Check each option

• For "10 brands and 10 sizes": \(10\times10 = 100

eq20\)

• For "5 brands and 4 sizes": \(5\times4 = 20\) (matches the total outcomes)
• For "4 brands and 16 sizes": \(4\times16 = 64

eq20\)

• For "2 brands and 20 sizes": \(2\times20 = 40

eq20\)

Answer:

5 brands and 4 sizes