# SOLUTION: How many different ways can the letters in the word STUDY be ordered?

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Permutations Question 311253: How many different ways can the letters in the word STUDY be ordered?Answer by fractalier(2101)   (Show Source): You can put this solution on YOUR website!Think of it this way... How many ways can the first letter be written? Well, five ways...there are five different letter choices. How many ways can the second letter be written? Well, since we only have four letters left (we used one already), there are only four possible choices. Using the same logic, three are possible for the third, two for the fourth, and that leaves only one choice for the last letter... So the answer turns out to be 5 * 4 * 3 * 2 * 1 = 120 possible ways.