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Omni-MATH / There are 10 people who want to choose a committee of 5 people among them. They…

Problem

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problem

There are 10 people who want to choose a committee of 5 people among them. They do this by first electing a set of 1,2,31,2,3, or 4 committee leaders, who then choose among the remaining people to complete the 5-person committee. In how many ways can the committee be formed, assuming that people are distinguishable? (Two committees that have the same members but different sets of leaders are considered to be distinct.)
Plain-text mathematical notation (without MathML)
There are 10 people who want to choose a committee of 5 people among them. They do this by first electing a set of 1,2,3, or 4 committee leaders, who then choose among the remaining people to complete the 5-person committee. In how many ways can the committee be formed, assuming that people are distinguishable? (Two committees that have the same members but different sets of leaders are considered to be distinct.)
Original LaTeX notation
There are 10 people who want to choose a committee of 5 people among them. They do this by first electing a set of $1,2,3$, or 4 committee leaders, who then choose among the remaining people to complete the 5-person committee. In how many ways can the committee be formed, assuming that people are distinguishable? (Two committees that have the same members but different sets of leaders are considered to be distinct.)

Discussion

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Source and history

task_id
bf182809-a75b-5480-a075-5c37a82a6ae4
task_key
test--bf182809-a75b-5480-a075-5c37a82a6ae4
task_revision_id
1
config / split
/ test

Official source

initial import