Question On His University Application: Prashad Must List Hi

Question 1on His University Application Prashad Must List His Course

Here is the core assignment question for your reference: On his university application, Prashad must list his course choices in order of preference. He must choose four of the six courses available in his major discipline and three of the four courses offered in related subjects. In how many ways can Prashad list his course choices? Explain the reasoning for your answer.

He can select his major by choosing any four of the six courses available. Since the order does not matter, the number of ways to do this is given by the combination: 6C4 = 15.

For each of these 15 choices, he can then select any 3 out of the 4 courses offered in related subjects. The number of ways to choose 3 courses from 4 is 4C3 = 4.

Therefore, the total number of ways to list his course choices, considering both selections, is the product of these two combinations: 15 * 4 = 60.

Paper For Above instruction

Prashad's university application requires him to prioritize his course selections across two categories: courses in his major discipline and courses in related subjects. The application stipulates selecting four courses from six available in his major, and three courses from four in related subjects. The problem is to determine the total number of different ways Prashad can list his course choices, taking into account that the order in which the courses are listed is significant.

Analyzing the major course selection, Prashad's options involve choosing any four courses from the six available. Since the order of listing does not matter within this selection, the calculation involves a combination: 6C4, which equals 15. This combination accounts for all possible unique groupings of four courses from the six options.

Subsequently, for each of these 15 major course selections, Prashad must choose three out of four courses in related subjects. Similar to the previous step, the number of ways to select three courses from four is given by 4C3, which is 4. This step ensures all possible combinations of related courses are considered for each major course choice.

To find the total number of possible course listing configurations, the multiplicative principle is employed. Multiplying the number of major course combinations by the number of related course combinations yields the total: 15 * 4 = 60. This comprehensive approach accounts for all distinct ways Prashad can prioritize his courses according to the specified constraints.

The combination methodology ensures that each unique selection is counted, and since the order of listing is considered significant, the methodology aligns with the problem's requirement to prioritize courses automatically by their position in the list. The calculation underscores the importance of systematic combinatorial reasoning in academic selection processes, facilitating a clear understanding of the diversity of potential course preference arrangements for students facing multiple choices with specific constraints.

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