Determine whether the scenario below involves permutations or combinations.
At a family gathering, 23 people are trying to fit into several cars. Your car holds 6 people. How many different groups of 6 could you take in your car?

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order does not matter, so combination. it doesn't matter what order they get in to the car.

Oh so if the order matters the its permutations?

now i bet it is clear how to get \[\dbinom{26}{6}\]
a rather large number.

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