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Practice problem

What Is the Fundamental Counting Principle?

By Expii Solve
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Look Where You Made Me Sit\text{Look Where You Made Me Sit}

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There have been countless feuds between celebrities since the dawn of celebrities. There is the feud between Matt Damon and Jimmy Fallon, and the one between Mariah Carey and Nicki Minaj, yet another between Nicki and Taylor Swift. Of course, there is also the feud that puts all other feuds to shame, the fight that will outlast all fights, the OG (or “Original” with a capital O) beef―between Taylor and Kanye.

You see, there are so many random feuds between so many random people, it makes assigning seats at award shows kind of hard. Especially for award shows where people have to sit down at a round table, eating food, and making small talk. Luckily, this year’s Golden Globes ended peacefully. Everyone was happy―those who won a bit happier, those who lost perhaps a bit less happy.

Now, let’s imagine the following fiasco for a brief moment: someone at Golden Globes messed up their job, and assigned Kanye and Taylor to be at the same table.

Here is a hint to the question below.

Total number of ways to seat 12 people can be broken into cases, first based on whether K and T are next to each other; if not, break into cases based on whether or not K and T are across from each other

Each table seats 1212 people, with seat positions numbered 11 through 12.12. Kanye and Taylor cannot sit next to or across from each other. How many ways are there to arrange seating?

Choose one answer

Type a concept, like “slope” or “photosynthesis”.

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