Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words.How many ways can the letters of RTLIOSN be arranged?
Question
How many ways can the letters of RTLIOSN be arranged?
Solution
The number of ways the letters of RTLIOSN can be arranged is determined by the formula for permutations of a multiset because all the letters in this set are unique.
The formula is n!, where n is the number of elements in the set, and "!" denotes factorial, which is the product of all positive integers up to n.
There are 7 letters in RTLIOSN, so the number of arrangements is 7! = 7654321 = 5040.
So, there are 5040 different ways to arrange the letters of RTLIOSN.
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