Imagine yourself in elementary school. Whenever you were to walk down the hall, you and your classmates are to stand in a line. You have a whimsical teacher that loves to "shake things up!" Every time your class walks down the hall, your class has to line up in an order that has never been done before that school year. Each day, you take 4 trips through the hall that require you to stay in a line. Given that you have 5 classmates, is it possible to have a different orientation of lines like your teacher asks you to for the whole school year if a school year consists of 180 days?

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