A tapas restaurant is a Spanish style restaurant where you order different food on small plates instead of one large meal. The tapas restaurant Tio Pepe offers 7 different plates. In how many different ways can you order 2 dishes, one at a time...?

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such that you do not order the same thing twice? (that was the rest of the question)

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Answer 1 · 2018-04-21T20:23:51

#21# different ways

#7C2=C_(7,2)=(7!)/(2!5!)=(7·6·cancel5·cancel4·cancel3·cancel2)/(cancel5·cancel4·cancel3·cancel2·2)=42/2=21# different ways