Deciding between Permutation & Combination

The ski club with ten members is to choose three officers captain, co-captain & secretary, how many ways can those offices be filled?

• Permutation

• Combination

An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

• Permutation

• Combination

For a segment of a radio show, a disc jockey (Dr. Jams) can play 4 songs. If there are 8 to select from, in how many ways can the program for this segment be arranged?

• Permutation

• Combination

The company Blue Quest has ten members on its board of directors. In how many different ways can it elect a president, vice-president, secretary and treasurer?

• Permutation

• Combination

You are on your way to Disneyland and of twelve possible books, your parents say you can only take four. How many different collections of four books can you take?

• Permutation

• Combination

Suppose you are asked to list, in order of preference, the three best movies you have seen this year. If you saw 10 movies during the year, in how many ways can the three best be chosen and ranked?

• Permutation

• Combination

A four-person committee is to be elected from an organization’s membership of 11 people. How many different committees are possible?

• Permutation

• Combination

There are 12 standbys who hope to get on your flight to Hawaii, but only 6 seats are available on the plane. How many different ways can the 6 people be selected?

• Permutation

• Combination

In the Wings Around the Globe Rally, 20 planes are entered and there are no ties, in how many ways can the first three finishers come in? There are different prizes for 1st, 2nd, 3rd place.

• Permutation

• Combination

To win the small county lottery, one must correctly select 3 numbers from 30 numbers. The order in which the selection is made does not matter. How many different selections are possible?

• Permutation

• Combination