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MATH / In how many ways can 7 people sit around a round table if no two of the 3 people Pierre, Rosa, and Thomas can sit next to each other? (Seating arrangements which are rotations of e…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In how many ways can 77 people sit around a round table if no two of the 33 people Pierre, Rosa, and Thomas can sit next to each other? (Seating arrangements which are rotations of each other are treated as the same.)
Plain-text mathematical notation (without MathML)
In how many ways can 7 people sit around a round table if no two of the 3 people Pierre, Rosa, and Thomas can sit next to each other? (Seating arrangements which are rotations of each other are treated as the same.)
Original LaTeX notation
In how many ways can $7$ people sit around a round table if no two of the $3$ people Pierre, Rosa, and Thomas can sit next to each other? (Seating arrangements which are rotations of each other are treated as the same.)

level

Level 5

type

Counting & Probability

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Source and history

task_id
721e9a68-d588-5b2e-a94c-972e482bee6e
task_key
counting~5fand~5fprobability--test--721e9a68-d588-5b2e-a94c-972e482bee6e
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import