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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.
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.
12
10080