Suppose the city of MISSISSAUGA has a contest where they arrange the letters of their city name in a particular order. The city residents have to guess which order the city has chosen, and the winner gets $10 000. The rules allow people to submit more than one entry, but they each have to be mailed individually. A friend of yours wants to mail every possible entry to be guaranteed to win the $10 000. Use a mathematical argument to explain to your friend why this isn't a good idea. Include evidence of your work by typing out your full solution.