How do I limit the number of colors in Adobe Illustrator?

I am trying the limit the number of colors used in my Adobe Illustrator file. I’ve created 10 swatches with specific colors that I’d like to use. I want all the colors in my illustration to change to be one of these 10 colors. One of my 10 colors should be automatically assigned based on the color value of the original color to match the original color as close as possible. (Similar to how “adaptive” color setting works when saving a GIF file) Thanks for your help!