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MATH / In how many ways can a President, Vice-President, and Treasurer be chosen from a…

Problem

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problem

In how many ways can a President, Vice-President, and Treasurer be chosen from a group of 44 guys and 44 girls and at least one girl and at least one guy holds at least one of those three positions? One person cannot serve in more than one position.
Plain-text mathematical notation (without MathML)
In how many ways can a President, Vice-President, and Treasurer be chosen from a group of 4 guys and 4 girls and at least one girl and at least one guy holds at least one of those three positions? One person cannot serve in more than one position.
Original LaTeX notation
In how many ways can a President, Vice-President, and Treasurer be chosen from a group of $4$ guys and $4$ girls and at least one girl and at least one guy holds at least one of those three positions? One person cannot serve in more than one position.

level

Level 4

type

Counting & Probability

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Source and history

Official source

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