Question

James has to choose his class options in his final year at school. He must choose one subject from each of the five different option groups.

1. In the first group, there are six subjects to choose from: Spanish, French, German, Russian, Swahili, and Latin.
2. In the second group, there are four subjects to choose from: Drama, Art, Music, and Dance.
3. In the third group, there are five subjects to choose from: Biology, Chemistry, Physics, Animal Science, and Chemistry of Foods.
4. In the fourth group, there are two subjects to choose from: Calculus or Statistics.
5. In the fifth group, there are four subjects to choose from: Web Publishing, Computer Applications, Auto CAD, and Journalism.
How many possible choices of subjects can James make?"

Answer 1

James has 960 different possible combinations of subjects to choose from for his final year class options at school, calculated by multiplying the number of subject options in each of the five groups.

Step-by-step explanation:

The student, James, has to make a choice from each of the five different option groups for his final year class options. To determine the total number of possible subject combinations James can make, we need to multiply the number of options in each group.

1. First Group: 6 subjects
2. Second Group: 4 subjects
3. Third Group: 5 subjects (Chemistry is listed twice, but we count it once)
4. Fourth Group: 2 subjects
5. Fifth Group: 4 subjects

Using the fundamental counting principle, the total number of combinations is the product of the number of options in each group:

Total Combinations = 6 × 4 × 5 × 2 × 4 = 960 possible choices.

Therefore, James has 960 different possible combinations of subjects to choose from for his class options in the final year at school.