Question: Judy is taking pictures of Jim, Karen and Mike. She asks them, " How many different ways could you three children stand in a line?"
Strategy:
1) UNDERSTAND:
What do you need to know?
You need to know that any of the students can be first, second or third.
2) PLAN:
How can you solve the problem?
You can make a list to help you find all the different ways. Choose one student to be first, and another to be second. The last one will be third.
3) SOLVE:
When you make your list, you will notice that there are 2 ways for Jim to be first, 2 ways for Karen to be first and 2 ways for Mike to be first.
First
|
Second
|
Third
|
Jim
|
Karen
|
Mike
|
Jim
|
Mike
|
Karen
|
Karen
|
Jim
|
Mike
|
Karen
|
Mike
|
Jim
|
Mike
|
Karen
|
Jim
|
Mike
|
Jim
|
Karen
|
So, there are 6 ways that the children could stand in line.