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The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 9 members, how many ways could the officers be chosen?
Answer:

The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has $9$ members, how many ways could the officers be chosen? $\newline$ Answer:

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Identify representative, random, and biased samples

Full solution

Q. The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has

9

members, how many ways could the officers be chosen?

\newline

Answer:

Determine President: Determine the number of ways to choose the president. $\newline$ There are $9$ members, so there are $9$ possible choices for president.
Determine Vice President: Determine the number of ways to choose the vice president. After choosing a president, there are $8$ members left, so there are $8$ possible choices for vice president.
Determine Secretary: Determine the number of ways to choose the secretary. After choosing a president and vice president, there are $7$ members left, so there are $7$ possible choices for secretary.
Calculate Total Ways: Calculate the total number of ways to choose the three officers. $\newline$ The number of ways to choose all three officers is the product of the number of choices for each position. $\newline$ $9$ (president) $*$ $8$ (vice president) $*$ $7$ (secretary) = $504$ ways.

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