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There are 3360 ways.
Given two letters, there are two ways to arrange them; first then second, or second then first. The way the question is worded, the other letters of the word do not matter.
10080
12
The number of different ways you can arrange the letters MNOPQ is the number of permutations of 5 things taken 5 at a time. This is 5 factorial, or 120.