Lliana 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?
4
6
10
15

 10

Step-by-step explanation:

Given : lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint.

Total number of colors = 6

If order does not matter, then we use combinations.

The number of combinations of n things taken r at a time :-

If green is already selected , then the remaining number of colors to choose  = 3 out of 5  ( red, yellow, purple, orange, and blue paint.)

The number of ways can she pick four colors if green must be one of them = 10.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.