180 different furniture combinations are possible with 4 couches, 5 coffee tables, and 9 recliners.
A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.
We have 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.
Total number of couches = 4
Total number of coffee tables = 5
Total number of recliners = 9
The total number of combinations possible:
[tex]=\rm _{4}^{}\textrm{C}_1\times\rm _{5}^{}\textrm{C}_1\times\rm _{9}^{}\textrm{C}_1[/tex]
= 4×5×9
= 180
Thus, 180 different furniture combinations are possible with 4 couches, 5 coffee tables, and 9 recliners.
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