How many different arrangements can be made using all of the letters in the word MOVIE? 144?

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How many different arrangements can be made using all of the letters in the word MOVIE? 144?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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you're permuting 5 objects all distinct. 5!=120
If they were not distinct, for example how many different arrangements of stools, you have to use something called the partition fomula. There are two s's, two o's, one t, one l. So the arrangements are 6!/(2!2!1!1!)=180
i did 5!/(5!)(4!)(3!)(2!).... but i understand now i see what i did wrong

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You should have done 5!/(5-5)! = 5!/0! = 5!

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