Graduate Management Admission Test (GMAT) Practice Test

What is the strategy for generating a specific 6-digit code that includes certain expected digits?

1. Count the total number of all digits

2. Consider combinations and arrangements of the required digits

3. Only focus on the highest digit available

4. Skip the indistinguishable digits entirely

The correct answer is: Consider combinations and arrangements of the required digits

The strategy for generating a specific 6-digit code that includes certain required digits focuses on combinations and arrangements of those digits because it allows for a systematic approach to ensuring the required digits are included in the code. When constructing the 6-digit code, one must take into account both the selection of the specific digits needed and the various ways those digits can be arranged within the 6-digit format. For instance, if you have certain digits that must appear in the code, you would first determine how many different combinations of those digits can fit within the length of the code while complying with any other restrictions, such as overall digit limits or sequencing. Additionally, considering arrangements highlights the importance of the order in which the digits appear. In a 6-digit code, the position of each digit is critical, which means that not only must the necessary digits be selected, but also the ways they can be positioned relative to each other. Focusing on the other options would not yield effective strategies. Counting the total number of all digits doesn’t help narrow down to the specific combination required. Concentrating only on the highest digit would overlook other necessary digits and their arrangements. Skipping indistinguishable digits entirely would fail to leverage any efficient methods of organizing the required digits effectively