EXAMPLE
1.5.20
Euclid's Auto
Body Shoppe is trying to unload some unwanted paint by offering the following
special deal: for $99 you get a two-tone paint job, using one color for the top
and a different color for the body. The available colors are: hot pink, puke
green, Gator orange, flaming chartreuse. How many different paint schemes are
possible?
A. 8 B.
16 C.
12 D.
7
We need to choose two different colors from a set of four
colors. This is a permutation
problem, not a combination problem, because (for instance) a car with a hot
pink top and a puke green body is different from a car with a puke green top
and a hot pink body.
P(4,2) = 12