The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>
The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:

This gives

Evaluate

Hence, the number of ways is 36
Read more about combination at:
brainly.com/question/11732255
#SPJ1