Permutations and Combinations Answers

There are 20 students in the community service club. The club needs 4 officers: a president, a vice president, a secretary, and a treasurer. Which expression can you use to find the number of ways to choose the officers from all of the members?

How many ways can the president, vice president, secretary, and treasurer be chosen?

There are ways to select 2 pieces of jewelry that are not bracelets.

How many ways can Lauren select 4 pieces of jewelry, of which exactly 2 are bracelets?

Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?

There are 6 people on the board of supervisors for a homeowners’ association. How many different 3-person committees could be formed from the 6 people?

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How many ways can you choose the 5 cards?

In a production of Romeo and Juliet, eight actors are considered for the male roles of Romeo, Mercutio, and Benvolio. In how many ways can the director cast the male roles?

Now, suppose Lauren wants to buy exactly 2 bracelets and 2 other pieces of jewelry. There are ways to select 2 bracelets.