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: There are 180 ways of different furniture combination that are possible.Step-by-step explanation:Since we have given that Number of couches = 4Number of coffee tables = 5Number of recliners = 9According 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 [tex]^4C_1=4\ ways[/tex]Number of ways of choosing a coffee table from the number of coffee tables will be [tex]^5C_1=5\ ways[/tex]Number of ways of choosing a recliners from the number of recliners will be [tex]^9C_1=9\ ways[/tex]So, the number of different furniture combinations are possible is given by[tex]4\times 5\times 9\\\\=180\ ways[/tex]Hence, there are 180 ways of different furniture combination that are possible.