Tate, Haley, and Sam are standing in a line. How many different ways can they line up?
Thank you for the opportunity to help you with your question!
Hey! You can use two different methods to solve this problem:
1. Write out the possible combinations:
Tate, Haley, Sam
Tate, Sam, Haley
Haley, Tate, Sam
Haley, Sam, Tate
Sam, Tate, Haley
Same, Haley, Tate
There's 6 possible ways they can line up.
2. Another way to solve this is to use a factorial expression, which will be more necessary once you deal with more complicated problems:
3! = 3*2*1 = 6 combinations
The way this works is '3', because that's the number of people. For example, the factorial expression for a combination of 5 people ordered would be 5!. Let me know if you need any more help :)
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