GiveThisManACalculator
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- Apr 20, 2019
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So, I'm in high school, and at the beginning of every Fall Semester, we get a new schedule, which consists of 8 blocks (periods). So a friend & I were curious of the probability to get a certain amount of classes together.
Before trying to calculate, I need to explain what I dubbed, anchor classes. An "anchor class" is a class that is only offered only at a certain block. This block cannot be moved to a different block. With the anchor classes, our 4th block is set together
So if I write out our classes with the anchor classes in mind:
The core classes we can possibly have together next year are: English, Government and Economics
These classes can be situated anywhere on the schedule. If for instance my first block is Government and hers is English, that wouldn't count as having a class together. But if we both have English 1st Block, that would count as having a class together. Basically, if the classes match horizontally on the chart, it counts as having a class together. If not, it doesn't.
I'm also being a TA next year, so I can TA for any block of my choosing. So if I TA for the block she is in, that counts as having a block together
Unfortunately, there are two blocks I have no knowledge of that she enrolled in next year. But it is certain that those two blocks are not any of the classes I enrolled in. We'll call these two class both X.
Now there are rules for the TA blocking:
1. I cannot TA for her 5th block class (Musical Theatre)
2. It is assumed that I cannot TA for both X classes
3. The only classes I can TA for are the Core Classes
Not counting AP Music Theory, it seems there are 3 classes I could have her in. I understand permutations would be needed to get the amount of possibilities of having a class together. But I don't know how to calculate it with all these rules. Any help would be most appreciated!
yeah we are both music nerds, everyones got their thing
Before trying to calculate, I need to explain what I dubbed, anchor classes. An "anchor class" is a class that is only offered only at a certain block. This block cannot be moved to a different block. With the anchor classes, our 4th block is set together
So if I write out our classes with the anchor classes in mind:
My Classes | My Friends Classes |
1. | 1. |
2. Jazz Band | 2. |
3. | 3. |
4. AP Music Theory | 4. AP Music Theory |
5. | 5. Musical Theatre |
6. AP Chemistry | 6. Chamber Choir |
7. Band | 7. |
8. | 8. |
The core classes we can possibly have together next year are: English, Government and Economics
These classes can be situated anywhere on the schedule. If for instance my first block is Government and hers is English, that wouldn't count as having a class together. But if we both have English 1st Block, that would count as having a class together. Basically, if the classes match horizontally on the chart, it counts as having a class together. If not, it doesn't.
I'm also being a TA next year, so I can TA for any block of my choosing. So if I TA for the block she is in, that counts as having a block together
Unfortunately, there are two blocks I have no knowledge of that she enrolled in next year. But it is certain that those two blocks are not any of the classes I enrolled in. We'll call these two class both X.
Now there are rules for the TA blocking:
1. I cannot TA for her 5th block class (Musical Theatre)
2. It is assumed that I cannot TA for both X classes
3. The only classes I can TA for are the Core Classes
Not counting AP Music Theory, it seems there are 3 classes I could have her in. I understand permutations would be needed to get the amount of possibilities of having a class together. But I don't know how to calculate it with all these rules. Any help would be most appreciated!
yeah we are both music nerds, everyones got their thing