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

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

Step-by-step 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

$4\times 5\times 9\\\\=180\ ways$

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

Answer 2

Answer:

There are 180 ways possible.

Step-by-step explanation:

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