Permutation, Combination, Independent, and Dependent

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

• 720

• 120

• 10!

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 4 students in a class committee

• Choose the chairperson, secretary and treasurer in a club

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination

• permutation

• neither

You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination

• permutation

• neither

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18

• 120

• 36

How many ways can you choose a manager and assistant from a 9-person task force?

• 81

• 18

• 72

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272

• 4080

• 680

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125