While making up your schedule for the spring semester, you find that you must take one course from each of English (3 choices), Texas History (2 choices), Math (2 choices), Social Sciences (4 choices), and Science (5 choices). a. If every possible course is available, how many possible schedules can you choose from (disregard the times/days that they meet)? b. BUT – you do not have the math prerequisite to take 1 of the math classes and 3 of the science classes. How many possible schedules do you have to choose from now? c. Good News! The prerequisite issue was a mistake, so all courses are back; however, in the meantime, two of the English classes and 3 of the Social Science classes are filled. How many schedules do you have to choose from now? d. Since enrollment is up and the classes are filling quickly, the VP for Academic Success decides to double the number of courses. How many schedules are now available? (Assume no classes are full yet.) e. What effect does this have on the number of possible choices? There will be times as many options.
While making up your schedule for the spring semester, you find that you must take one course from each of English (3 choices), Texas History (2 choices), Math (2 choices), Social Sciences (4 choices), and Science (5 choices). a. If every possible course is available, how many possible schedules can you choose from (disregard the times/days that they meet)? b. BUT – you do not have the math prerequisite to take 1 of the math classes and 3 of the science classes. How many possible schedules do you have to choose from now? c. Good News! The prerequisite issue was a mistake, so all courses are back; however, in the meantime, two of the English classes and 3 of the Social Science classes are filled. How many schedules do you have to choose from now? d. Since enrollment is up and the classes are filling quickly, the VP for Academic Success decides to double the number of courses. How many schedules are now available? (Assume no classes are full yet.) e. What effect does this have on the number of possible choices? There will be times as many options.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. While making up your schedule for the spring semester, you find that you must take one course from each of English (3 choices), Texas History (2 choices), Math (2 choices), Social Sciences (4 choices), and Science (5 choices).
a. If every possible course is available, how many possible schedules can you choose from (disregard the times/days that they meet)?
b. BUT – you do not have the math prerequisite to take 1 of the math classes and 3 of the science classes. How many possible schedules do you have to choose from now?
c. Good News! The prerequisite issue was a mistake, so all courses are back; however, in the meantime, two of the English classes and 3 of the Social Science classes are filled. How many schedules do you have to choose from now?
d. Since enrollment is up and the classes are filling quickly, the VP for Academic Success decides to double the number of courses. How many schedules are now available? (Assume no classes are full yet.)
e. What effect does this have on the number of possible choices? There will be times as many options.
Expert Solution
Step 1: Part 1
Since you have posted a question with multiple subparts, we will provide solution to the first three sub-parts as per our Q&A guidelines. Please repost the remaining sub parts separately.
Given that we have following courses available:
- English: 3 choices
- Texas History: 2 choices
- Math: 2 choices
- Social Sciences: 4 choices
- Science: 5 choices
Hence, total number of possible schedules can be calculated by multiplying the number of choices in each category
= 3*2*2*4*5 = 240
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