Question: When counting, how would you decide to use n ! vs n k ? Feel free to give two examples. One example where you would

When counting, how would you decide to use n! vs nk?
Feel free to give two examples. One example where you would need to use n!, and the other using nk. A complete answer would point out what the key difference is between the two examples.
 When counting, how would you decide to use n! vs nk?

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