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Kathy is deciding on her schedule for next semester. she must take each of the following classes: english 101, music 101, biology 102 and math 120. if there are 16 sections of english 101, 10 sections of music 101, 11 sections of biology 102 and 13 sections of math 120, how many different possible schedules are there for Kathy to choose from? assume there are no time conflicts between the different classes.

User JamesJJ
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2 Answers

4 votes

Final answer:

Kathy can choose from 28,080 different possible schedules by multiplying the number of sections available for each class: 16 sections of English 101, 10 sections of Music 101, 11 sections of Biology 102, and 13 sections of Math 120.

Step-by-step explanation:

The student's question involves determining the number of different possible schedules that Kathy can choose from given the number of sections available for each class. This is a combinatorics problem in mathematics that can be solved by multiplying the number of choices available for each class.

Kathy has 16 sections of English 101, 10 sections of Music 101, 11 sections of Biology 102, and 13 sections of Math 120 to choose from. Since there are no time conflicts between the classes, she can choose any section from each class independently of the others.

To find the total number of different possible schedules, we multiply the number of options for each class:

Total possible schedules = Number of English 101 sections × Number of Music 101 sections × Number of Biology 102 sections × Number of Math 120 sections

Total possible schedules = 16 × 10 × 11 × 13

To compute this, take the product of all the numbers:

Total possible schedules = 28080

Therefore, Kathy has 28,080 different possible schedules to choose from.

User Kovacs Lorand
by
4.7k points
7 votes

Answer:

22,880 different possible schedules

Step-by-step explanation:

These are the sections available:

• 16 sections of english 101

,

• 10 sections of music 101

,

• 11 sections of biology 102

,

• 13 sections of math 120

Since there are no conflicts between the different classes, to find the different possible schedules, multiply the sections. i.e.


16*10*11*13=22,880

There are 22,880 different possible schedules for Kathy to choose from.

User Peter Kota
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4.5k points