Final answer:
The number of different strings that can be made by rearranging the letters in the word 'bananananas' is 1,320.
Step-by-step explanation:
The word 'bananananas' has 12 letters. To find the number of different strings that can be made by rearranging these letters, we can use the concept of permutations.
In this case, we need to consider that some of the letters are repeated, such as 'a' (6 times) and 'n' (3 times).
We can calculate the number of different strings using the formula:
n! / (r1! * r2! * ... * rk!),
where n is the total number of letters, and r1, r2, ..., rk are the repetition factors for each letter.
For 'bananananas', we have:
- Total letters (n): 12
- Repetition factor for 'a' (r1): 6
- Repetition factor for 'n' (r2): 3
Substituting these values into the formula, we get:
12! / (6! * 3!)
= 1,320 different strings.