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Snowman

All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an). How many words are there in the Snowman language?

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Pros and Cons

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

Rachel's Problem

Age 14 to 16 Challenge Level:

Is it true that $ 99^n $ has $ 2n $ digits and $ 999^n $ has $ 3n $ digits? Investigate!

(This problem was inspired by Rachel Galley's work on the problem called Giants in the June 1999 Six.)