A new condo development is offering buyers the option to choose from 4 different counter top styles, 5 floor types and 4 colors of paint. In order to keep costs to the minimum, the buyer would like to choose from the lower cost options. In how many ways can 3 styles of counter tops, 2 colors floor types, and 3 colors of paint be selected from the given group?
Select the correct option
A) 112 ways
B) 99 ways
C) 80 ways
D) 64 ways
E) 12 ways
The number of ways of selecting three styles of counter tops, two floors and three colors of paint is:   = ⁴C₃ * ⁵C₂ * ⁴C₃   = (4 * 3 * 2)/(3 * 2 * 1) * (5 * 4)/(2 * 1) * (4 * 3)/(3 * 2 * 1)   = 4 * 10 * 2= 
<gadget id="calculator">4 * 10 * 2</gadget>
<output>80</output>
80 ways.   Answer: 80 ways
<result>C</result>
A new condo development is offering buyers the option to choose from 4 different counter top styles, 5 floor types and 4 colors of paint. In order to keep costs to the minimum, the buyer would like to choose from the lower cost options. In how many ways can 3 styles of counter tops, 2 colors floor types, and 3 colors of paint be selected from the given group?