Number of Paint IIiana has={green,red, yellow, purple, orange, blue}
Number of Color to be Chosen =4 Colors among 6 colors in which one must be green.
Number of Ways of choosing 4 Colors among 6 colors in which one must be green=
One color is green, which must be kept aside and Other 3 color can be chosen from 5 colors
[tex]=\frac{_{3}^{5}\textrm{C} \times 1}{_{4}^{6}\textrm{C}}\\\\=\frac{5!\times(6-4)!\times 4!}{(5-3)! \times 3!\times 6!}\\\\=\frac{5! \times 2! \times 4\times 3!}{2! \times 3! \times 6 \times 5!}\\\\=\frac{4}{6}\\\\=\frac{2}{3}[/tex]
