Final answer:
There are 39,916,800 different ways to rearrange the letters in 'boilermaker'.
Step-by-step explanation:
To find the number of ways we can rearrange the letters in 'boilermaker', we can use the concept of permutations. Since there are 11 letters in total, the number of permutations is given by 11! (eleven factorial). This means multiplying all the numbers from 11 down to 1. Using a calculator, we can find that 11! is equal to 39,916,800. So, there are 39,916,800 different ways to rearrange the letters in 'boilermaker'.