Final answer:
The question is about choosing 6 letters without replacement from a set of 12 distinct letters and calculating the number of ways to do so.
Step-by-step explanation:
The subject of this question is Mathematics, specifically the concept of combinations.
The group of interest in this question is the selection of 6 letters from a set of 12 distinct letters.
The size of the group of interest is 6, and the size of the sample is 12.
To calculate the number of ways to choose 6 letters from 12, we can use the formula for combinations: C(12, 6) = 12! / (6! * (12-6)!). This can be simplified to C(12, 6) = 924.