QUANTITY A: The number of distinct combinations that can be made by arranging all of the letters in the word \(square\)
In SQUARE, we have 6 unique letters.
We can arrange and unique objects in n! ways.
So, we can arrange 6 unique letters in 6! ways (= 720 ways).

QUANTITY B: The number of distinct combinations that can be made by arranging all of the letters in the word \(circle\)
In CIRCLE, we have 6 letters, including 2 identical C's.

-----ASIDE------
When we want to arrange a group of items in which some of the items are identical, we can use something called the MISSISSIPPI rule. It goes like this:
If there are n objects where A of them are alike, another B of them are alike, another C of them are alike, and so on, then the total number of possible arrangements = n!/[(A!)(B!)(C!)....]
So, for example, we can calculate the number of arrangements of the letters in MISSISSIPPI as follows:
There are 11 letters in total
There are 4 identical I's
There are 4 identical S's
There are 2 identical P's
So, the total number of possible arrangements = 11!/[(4!)(4!)(2!)]
-------------------
Similarly, we can calculate the number of arrangements of the letters in CIRCLE as follows:
There are 6 letters in total
There are 2 identical C's
So, the total number of possible arrangements = 6!/2! = 720/2 = 360

Answer: A