Final answer:
The number of ways to arrange the letters of 'snow' with 'n' and 'o' together is 6, as you can treat 'no' as a single entity and then find the factorial of the remaining three items.
Step-by-step explanation:
The question is about how many ways the letters of the word 'snow' can be arranged so that the letters 'n' and 'o' are always next to each other. We can treat the 'no' combination as a single entity since these letters must stay together. Given the word 'snow,' we're actually arranging three items: 's', 'w', and the 'no' combination.
To find the number of arrangements, we calculate the factorial of the number of items. Since we have three items, we will find 3! (three-factorial), which is 3 x 2 x 1. Thus, there are 6 different arrangements for the letters of 'snow' with 'n' and 'o' together.
It's similar to the task of forming valid sentences with a collection of words where you intuitively know the correct order without having to go through all possible combinations.