Question
With her box of 64 crayons, your little sister decides to draw a picture of the family: herself, you, and your parents. How many different ways could she find to give you all hair colors?
Answers
Reiny
You don't specify if the hair colours have to be all different, or is not drawing in the hair at all would be a choice.
If all different :
number of ways = 64 x 63 x 62 x 61 = ...
If repeats are allowed:
number of ways = 64^4 = ...
If not drawing the hair at all is a choice, then
start the above with 65
If all different :
number of ways = 64 x 63 x 62 x 61 = ...
If repeats are allowed:
number of ways = 64^4 = ...
If not drawing the hair at all is a choice, then
start the above with 65