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?

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

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

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

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

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

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

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