### 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?

### 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 16Challenge 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.)