463,483 views
34 votes
34 votes
Cory and Shana are having a new home custom built. Their builder has asked them to make specific selections for the following items:

cabinetry, countertop, flooring, and appliances.
They are choosing from 4 different types of cabinetry, 3 types of countertop, 6 types
of flooring, and 5 types of appliances. They will choose one type of each for their new kitchen.
How many different kitchen designs
are possible?

User Entercaspa
by
3.2k points

2 Answers

20 votes
20 votes

Final answer:

Cory and Shana can choose from 360 different kitchen designs for their new home by applying the fundamental counting principle to their 4 cabinetry, 3 countertop, 6 flooring, and 5 appliance choices.

Step-by-step explanation:

Cory and Shana's choices for cabinetry, countertop, flooring, and appliances for their new kitchen design can be calculated using the fundamental counting principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m x n ways of doing both. In this scenario, they have 4 cabinetry options, 3 countertop options, 6 flooring options, and 5 appliance options to choose from.

Thus, the total number of different kitchen designs possible can be calculated as:

  • Number of cabinetry choices: 4
  • Number of countertop choices: 3
  • Number of flooring choices: 6
  • Number of appliance choices: 5

Using multiplication for independent choices, we get:

Total kitchen designs = (Number of cabinetry choices) x (Number of countertop choices) x (Number of flooring choices) x (Number of appliance choices)

Total kitchen designs = 4 x 3 x 6 x 5

Total kitchen designs = 360

Therefore, there are 360 different kitchen designs possible for Cory and Shana to choose from for their custom-built home.

User Warkolm
by
2.7k points
19 votes
19 votes

Answer:

i think 360

Step-by-step explanation:

pretty sure you're supposed to multiply everything

User Piyush Dhore
by
2.9k points