Question

An artist can select colors for a sign. If the artist has 8 colors to choose from, how many different ways can he paint the sign?

a) 28
b) 64
c) 256
d) 512

Answer 1

The artist has 8 different ways to paint the sign since there are 8 colors to choose from and the sign is painted with one color only.

Step-by-step explanation:

The student is asking about the number of different ways an artist can paint a sign, given 8 colors to choose from. This is a combinatorial problem that can be solved using the concepts of permutations or combinations. In this scenario, the artist can use each color only once, so we are looking for the total number of permutations of the 8 colors. Assuming that the sign is painted with one color only, the number of different ways the artist can paint the sign is the same as the number of colors to choose from.

Therefore, the artist has 8 color options for the sign.