Since all letters are distinct, there are 120.1x2x3x4x5=120, not 5. CHINA=5 letters. So do the same formula (1x2x3x4x5) but the answer is 120.
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In how many distinct ways can the letters of the word MEDDLES be arranged?
34,650
Tiffany
30 ways
The number of different ways the letters of a word can be arranged, when all the letters are different, is the same as the number of permutations of those letters. In this case, the answer is 5!, or 120.