Viper83 wrote: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 at the warehouse?
a. 6
b. 8
c. 10
d. 15
e. 30
a
Another approach:
Number of ways to choose 2 chairs from 5 choices = 5C2 = 10.
Number of table combinations = Total combinations/Chair combinations = 150/10 = 15.
Now we can plug in the answer choices, which represent the number of tables, to see which yields 15 possible combinations.
Only answer choice A works:
6C2 = 15.
The correct answer is
A.
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