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
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?
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