PERMUTATION VS COMBINATION

A school election selects a President, Vice President, and Secretary from a group of 10 students.

• PERMUTATION

• COMBINATION

A student randomly picks 3 books from a shelf of 7 to read over the weekend.

• PERMUTATION

• COMBINATION

In a singing contest, judges award Gold, Silver, and Bronze medals to the top 3 performers.

• PERMUTATION

• COMBINATION

A restaurant allows customers to choose any 2 toppings for their pizza from a list of 5.

• PERMUTATION

• COMBINATION

A class of 30 students is forming a 5-member dance group, but positions in the group don’t matter.

• PERMUTATION

• COMBINATION

A school basketball team needs to select 5 players from a group of 12 to compete in an interschool tournament. In how many ways can they be chosen?

A student council is forming a 4-member environmental committee from 10 volunteers. How many different committees can be formed?

A bakery is offering 6 different cake flavors, and a customer wants to buy 3 different cakes for a party. How many ways can the customer choose the cakes?

A teacher needs to select 3 students from a class of 8 to represent the school in a math competition. How many ways can the teacher make this selection?

A librarian is organizing a book display and needs to choose 4 books from a set of 9 to showcase. How many different selections of books are possible?