While making up his schedule for spring semester, Tom complains that he doesn't have very many choices of schedule because of the general education requirements he has to meet. His advisor tells Tom that he has to take one course from each of English (8 choices), History (6 choices), Math/Stats (4 choices), Computer Science (6 choices), and general Science (4 choices). Does Tom have a legitimate gripe? (a) If every possible course is available at the time he's registering, how many possible schedules can he choose from (disregarding when the classes meet)? Tom can choose from possible schedules. (b) In an unprecedented effort to make the general education requirements more accessible, the dean of Tom's college decides to double the number of acceptable courses in each of those five areas. What effect does this have on the number of possible schedules? Tom can choose from possible schedules when the number of acceptable courses are doubled. The number of possible schedules is increased by a factor of X 00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Educational Scenario: Course Selection Challenge**

**Scenario:**

While making up his schedule for the spring semester, Tom complains that he doesn’t have very many choices of schedule because of the general education requirements he has to meet. His advisor tells Tom that he has to take one course from each of English (8 choices), History (6 choices), Math/Stats (4 choices), Computer Science (6 choices), and general Science (4 choices). Does Tom have a legitimate gripe?

**Question (a):**

If every possible course is available at the time he’s registering, how many possible schedules can he choose from (disregarding when the classes meet)?

Tom can choose from _____ possible schedules.

**Question (b):**

In an unprecedented effort to make the general education requirements more accessible, the dean of Tom’s college decides to double the number of acceptable courses in each of those five areas. What effect does this have on the number of possible schedules?

Tom can choose from _____ possible schedules when the number of acceptable courses are doubled. The number of possible schedules is increased by a factor of _____.

**Instructions:**

- Use the given choices for each subject to calculate the total number of possible schedules.
- Consider how changing the number of choices affects the total number of possible schedules.
Transcribed Image Text:**Educational Scenario: Course Selection Challenge** **Scenario:** While making up his schedule for the spring semester, Tom complains that he doesn’t have very many choices of schedule because of the general education requirements he has to meet. His advisor tells Tom that he has to take one course from each of English (8 choices), History (6 choices), Math/Stats (4 choices), Computer Science (6 choices), and general Science (4 choices). Does Tom have a legitimate gripe? **Question (a):** If every possible course is available at the time he’s registering, how many possible schedules can he choose from (disregarding when the classes meet)? Tom can choose from _____ possible schedules. **Question (b):** In an unprecedented effort to make the general education requirements more accessible, the dean of Tom’s college decides to double the number of acceptable courses in each of those five areas. What effect does this have on the number of possible schedules? Tom can choose from _____ possible schedules when the number of acceptable courses are doubled. The number of possible schedules is increased by a factor of _____. **Instructions:** - Use the given choices for each subject to calculate the total number of possible schedules. - Consider how changing the number of choices affects the total number of possible schedules.
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