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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 couches, 5 coffee tables, and 9 recliners.
How many different furniture combinations are possible?

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 44 couches, 55 coffee tables, and 99 recliners.\newlineHow many different furniture combinations are possible?

Full solution

Q. 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 44 couches, 55 coffee tables, and 99 recliners.\newlineHow many different furniture combinations are possible?
  1. Couch Options: Bruce and Krista have 44 options for couches.
  2. Coffee Table Choices: They got 55 choices for coffee tables.
  3. Recliner Selection: And they're looking at 99 recliners to pick from.
  4. Calculate Total Combinations: To find the total combinations, multiply the number of options for each item: couches×coffee tables×recliners\text{couches} \times \text{coffee tables} \times \text{recliners}.
  5. Multiply Couches, Coffee Tables, Recliners: So it's like 44 couches ×\times 55 coffee tables ×\times 99 recliners.
  6. Final Calculation: Doing the math, that's 4×5=204 \times 5 = 20, then 20×9=18020 \times 9 = 180.

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