Answer:
120 different color combinations are possible.
Step-by-step explanation:
The order in which the color are chosen is not important(blue, green and red is the same outcome as red, blue, green), which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
3 colors from a set of 10, so:
[tex]C_{10,3} = \frac{10!}{3!7!} = 120[/tex]
120 different color combinations are possible.
