13
QuizMultiple Choice

Step Functions — Cumulative exam

Question 13 • VA-Mathematical Analysis

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

Answer
A
4
B
6
C
10
D
15

Explanation

Green must be included, so Iliana needs to choose 3 more colors from the remaining 5: red, yellow, purple, orange, and blue. Since order does not matter, the number of choices is 5 × 4 × 3 ÷ (3 × 2 × 1) = 10. Therefore, she can choose four colors in 10 ways, choice 10.

AI-written and checked against the verified answer.

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