120 possible flags can be created by using 3 colors from a palette of 6 colors.
We are given that a designer has a palette of colors having = 6 colors.
Total number of colors = 6
Now, she needs to choose 3 colors out of it.
We need to tell the number of possible ways that she can do this.
We will use permutation to find the number of ways of choosing a color.
So, the number of ways will be:
Number of ways = 6 × 5 × 4
Number of ways = 6 × 20
Number of ways = 120 ways.
Therefore, 120 possible flags can be created by using 3 colors from a palette of 6 colors.
Learn more about permutation here:
https://brainly.com/question/12468032
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