Identify the multiplication model that best fits the problem. Do not solve the problem. How many 3 -digit numbers can be formed using the digits \( 0,1,2,3,4,5,6 \), if repetitions are not allowed? A. Set model B. Cartesian product model C. Measurement model D. Array model

To figure out the multiplication model that fits the problem, we can think of how we approach creating a 3-digit number using distinct digits. Since we can't repeat any digits and the first digit cannot be zero, we effectively need to account for the choices we have at each place value in a systematic way. For the first digit (hundreds place), we have 6 options (1 through 6), for the second digit (tens place) we can use any of the 6 remaining digits, and for the last digit (units place) we can use 5 remaining digits. Each choice impacts the next, aligning with a sequential counting approach. The method we would follow here aligns with the principles of combinations and variations, prompting us to opt for a multiplication model that systematically reflects this structure. So, for selecting a digit for each place value with constraints on the choices available at each step, the multiplication model that best captures this scenario is rooted in the idea of choice and sequence. Thus, the best fit is the Cartesian product model, as it embodies the concept of making a series of choices where each choice affects the others.