Question

Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 44 couches, 5 55 coffee tables, and 9 99 recliners. How many different furniture combinations are possible?

Answer 1

There are 180 ways possible.

Explanation:

just multiply all the numbers. 4*5*9=180 combinations.

Answer 2

Answer: There are 180 ways of different furniture combination that are possible.

Explanation:

Since we have given that

Number of couches = 4

Number of coffee tables = 5

Number of recliners = 9

According to question, Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner.

So, Number of ways of choosing a couch from the number of couches will be

`^4C_1=4\ ways`

Number of ways of choosing a coffee table from the number of coffee tables will be

`^5C_1=5\ ways`

Number of ways of choosing a recliners from the number of recliners will be

`^9C_1=9\ ways`

So, the number of different furniture combinations are possible is given by

`4* 5* 9\\\\=180\ ways`

Hence, there are 180 ways of different furniture combination that are possible.