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How do I solve the following problem?Seven people go out for dinner. In how many ways...

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How do I solve the following problem?

Seven people go out for dinner. In how many ways can 4 order steak, 2 order vegan, and 1 order seafood?

 

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(steak)! * (vegan)! * (seafood)!

4! * 2! * 1! 

4 * 3 * 2 * 1 * 2 * 1 * 1 = 48

48 ways to order dinner

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