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Number Theory

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Yan was opening a new
restaurant, so she went to
the sign store to get
letters to make a sign to
hang above the
storefront. When she got
to the sign store, the only
letters they had in stock
were two copies of the
letter 'X,' two copies of
the letter 'E,' and one
copy of the letter 'V.' Yan
decided to buy all the
letters and use all of
them to make the name
of her store. How many
different names can she
give her store using these
5 letters? I got 120 but it's wrong. Sorry to post question from Brilliant. If you think, you can answer ...

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