Permutations vs Combinations

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

• Permutation

• Combination

The student body has 190 students. In how many ways can it elect a president, vice-president, and secretary?

• permutation

• combination

You just bought 5 new t-shirts. You want to take two of them with you on vacation. In how many ways can you choose two t-shirts to take?

• Permutation

• Combination

Your school yearbook has an editor and an assistant editor. The staff of the yearbook has 15 students. In how many ways can students be chosen for these two positions?

• Permutation

• Combination

There are 140 at a meeting. They each shake hands with everyone else. How many handshakes were there?

• Permutation

• Combination

A corporation has ten members on its board of directors. In how many ways can it elect a president, vice-president, secretary, and treasurer?

• permutation

• combination

A coach must choose how to line up his five starters in order from a team of 12 players. In how many ways can the coach choose the starters?

• Permutation

• Combination

How many different 7 -card hands can be chosen from a standard 52 - card deck?

• Permutation

• Combination

How many ways can you frame two out of five pictures in different frames?

• Permutation

• Combination

There are 11 players on a baseball team. In how many different ways can the batting order for 10 players be arranged?

• Permutation

• Combination