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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?

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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?

we have a combination problem

C(3,5) ------> because green must be one of them

Applying the formula

[tex]C(3,5)=\frac{5!}{(5-3)!\cdot3!}[/tex][tex]\begin{gathered} C(3,5)=\frac{5\cdot4\cdot3!}{(2)!\cdot3!} \\ \\ C(3,5)=\frac{5\cdot4}{2\cdot1} \\ C(3,5)=10 \end{gathered}[/tex]

answer is 10

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