To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. if there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables are in the warehouse? a. 6
b. 8
c. 10
d. 15
e. 30

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in ways.

There are n tables and we can choose 2 tables from n table in ways.

We can represent our given information in an equation as:

Since tables cannot be negative quantity, therefore, 6 tables are in the warehouse.

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right