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?
see
http://www.jiskha.com/display.cgi?id=1320908223
To find out how many different ways your little sister could give you all hair colors using her box of 64 crayons, we need to consider the available options for each person.
Let's break down the problem and look at it step by step:
1. Hair Color for Your Little Sister: Since she is using a box of 64 crayons, she has all the options available. There are 64 possibilities for her hair color.
2. Hair Color for You: Now, counting options for your hair color, we need to consider that one crayon will be used by your little sister, so we have 63 choices left.
3. Hair Color for Your Parents: Similarly, considering that two crayons have already been used, your parents have 62 choices each for their hair colors.
Now, to calculate the total number of different ways to give you all hair colors, we need to multiply the possibilities for each person.
Total number of different ways = Number of possibilities for your sister * Number of possibilities for you * Number of possibilities for each parent
= 64 * 63 * 62 * 62
Using simple multiplication, we get:
= 249,696 possibilities
Therefore, your little sister has 249,696 different ways to give you all unique hair colors using her box of 64 crayons.