Problem
COM-B1-M01-P012 Three-Stripe Flag
#12
★★☆☆☆ Level 2 of 5
A flag has three horizontal stripes. There are \(4\) colors, and adjacent stripes must have different colors. How many flags can be made?
The first stripe is free; each next stripe differs from the previous one.
Choose the first stripe in \(4\) ways, the second in \(3\), and the third in \(3\). Total: \(4\cdot3\cdot3=36\).
Good bridge to coloring problems.