Question

A game designer must decide how to color five buildings that are in a row. Using only the colors yellow, green, red, and blue, each building must be painted with exactly one color. Any two neighboring buildings must be different colors, and the first, third, and fifth buildings must be different colors. How many ways are there to paint the five buildings?

Answer 1

Answer:

96

Step-by-step explanation: Since this question is Permutations, you do (5*4*3*2*1 ) - (4*3*2*1) = 96 ways. You do 5*4*3*2*1 because of 5! (5 factorial) and since there are 5 houses. You do 4*3*2*1 because of 4! (4 factorial). and since there are 4 colors.