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?

The number of tables in the warehouse are:

                             6

We know that the method of combination is used to find the number of combinations possible in order to select r items from a set of n items

and is given by:

Now, it is given that:

In order to furnish a room we have to select 2 chairs and 2 tables from 5 chairs and let there are t tables.

Also, the total number of combinations possible are: 150

i.e.

But the number of table can't be negative.

Hence, we get:

        There are 6 tables in the warehouse.

d is correct

step-by-step explanation: