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

Answer 1

no. of couches: 4
no. of coffee tables: 5
no. of recliners: 9.

Since they have to choose one of each so no. of combinations:

4c1*5c1*9c1.
= 180.

Answer 2

Answer:

Bruce and Krista can buy a couch, a coffee table, and a recliner from a set of  4 couches, 5 coffee tables, and 9 recliners in 180 different ways or combination.

Step-by-step explanation:

Given:

Total no. of couches choosen = 4

Total no. of coffee tables choosen = 5

Total no. of recliners choosen = 9

No. of couches to be purchased = 1

No. of coffee tables to be purchased = 1

No. of recliners to be purchased = 1

Solution:

Combination of couches is 4C1 = 4! / (4-1)! = 4! / 3! = 4*3*2*1 / 3*2*1 = 4

Similarly,

Combination of coffee tables is 5C1 = 5

Combination of recliners is 9C1 = 9

So, total possible combinations are 4C1 * 5C1 * 9C1 = 4*5*9 = 180 ways.