1/3/2023-HW Permutations and Combinations

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In a school building, there are 8 exterior doors and 12 stairways to enter the second floor. Find the total number of ways to reach the second floor.

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Kendall went shopping and purchased 7 shirts, 3 pairs of pants, and 2 jackets. How many different outfits are possible?

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Find

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Find

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The 2 answers of #3 and #4 should be significantly different. Explain in your own words why the answers differ?

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Choose the type of arrangement for each situation:

Picking three team members from a group
Picking a team captain, pitcher, and shortstop from a group

permutation
combination

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Choose the type of arrangement for each situation:

Picking your favorite two colors, in order, from a brochure
Picking two colors from a color brochure

permutation
combination

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Choose the type of arrangement for each situation:

Picking three winners of a contest
Picking first, second, and third place winners

permutation
combination

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George has 12 good friends but can only invite four of them to see a concert with him. In how many ways can he choose the four friends?

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Your school newspaper has an editor – in – chief and an assistant editor – in – chief. The staff of the newspaper has 12 students. In how many ways can students be selected for these two positions?

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An airline is hiring 10 flight attendants. If 21 people apply for the job, how many different groups of 10 attendants can the airline choose hire?

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There are 12 concerts that Susan wants to see over summer break. She only has time to see 5 of the concerts. How many different groups of 5 concerts are possible, if the order in which they are seen is not important?

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A Spanish club is electing a president, vice president, and secretary. The club has 9 club members who are eligible for these officers. How many different ways can these three offices be filled?

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Ten teams are competing in the final round of the Olympic bobsledding team competition.
In how many different ways can the bobsledding teams finish first, second, and third to win the gold, silver, and bronze medals?

SOL Review

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upload your pages of work here--page 1

1

In a school building, there are 8 exterior doors and 12 stairways to enter the second floor. Find the total number of ways to reach the second floor.

Kendall went shopping and purchased 7 shirts, 3 pairs of pants, and 2 jackets. How many different outfits are possible?

Find

Find

The 2 answers of #3 and #4 should be significantly different. Explain in your own words why the answers differ?

Choose the type of arrangement for each situation:

Choose the type of arrangement for each situation:

Choose the type of arrangement for each situation:

George has 12 good friends but can only invite four of them to see a concert with him. In how many ways can he choose the four friends?

Your school newspaper has an editor – in – chief and an assistant editor – in – chief. The staff of the newspaper has 12 students. In how many ways can students be selected for these two positions?

An airline is hiring 10 flight attendants. If 21 people apply for the job, how many different groups of 10 attendants can the airline choose hire?

There are 12 concerts that Susan wants to see over summer break. She only has time to see 5 of the concerts. How many different groups of 5 concerts are possible, if the order in which they are seen is not important?

A Spanish club is electing a president, vice president, and secretary. The club has 9 club members who are eligible for these officers. How many different ways can these three offices be filled?

Ten teams are competing in the final round of the Olympic bobsledding team competition.In how many different ways can the bobsledding teams finish first, second, and third to win the gold, silver, and bronze medals?

upload your pages of work here--page 1

upload your pages of work here--page 2

Ten teams are competing in the final round of the Olympic bobsledding team competition.
In how many different ways can the bobsledding teams finish first, second, and third to win the gold, silver, and bronze medals?