Question

Maddie is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and 3 different lampshades. Each lampshade comes in 3 different colors. Maddie also needs to choose one of the 2 kinds of lightbulbs available. How many different lamps can Maddie choose?

A) 30

B) 45

C) 90

D) 180

Answer 1

Maddie can choose from 90 different lamp combinations by multiplying the number of lamp bases, lampshades with colors, and lightbulbs (5 x 9 x 2). The correct answer is C) 90.

Step-by-step explanation:

To determine how many different lamps Maddie can choose, we can use the fundamental counting principle. We multiply the number of options for each choice together to get the total number of combinations. Maddie has:

• 5 kinds of lamp bases.
• 3 different lampshades, each in 3 different colors, so 3 x 3 = 9 options for lampshades.
• 2 kinds of lightbulbs.

By multiplying these numbers, we find the total number of possible combinations:

5 lamp bases x 9 lampshades (with color) x 2 lightbulbs = 90 different lamps.

Therefore, the correct answer is C) 90.