Acertain board game uses tokens made of transparent colored plastic. each token looks like where each of the four different regions is a different color: either red, green, yellow, blue, orange, purple, or black. how many different tokens of this type are possible? (note: the white circle is a region.)

35

Step-by-step explanation:

We are given that a certain board game uses token made of transparent colored plastic.

Each token looks like where each of the four different regions is a different color.

We have to find out number of tokens of this type are possible

Given colors are red,green,yellow,blue,orange,purple and black.

Total number of colors=7

We have to select four colors out of seven colors

n=7,r=4

Using combination formula

Hence, total  possible different  numbers of  token of given type =35