Tate, Haley, and Sam are standing in a line. How many different ways can they line up?

Mathematics
Tutor: None Selected Time limit: 1 Day

Tate, Haley, and Sam are standing in a line. How many different ways can they line up?

Sep 2nd, 2015

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 :)




Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 2nd, 2015

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