FCP and Permutation

Suppose a club has 20 members. In how many different ways could the club choose a president, vice-president, and secretary?

• 6

• 60

• 1140

• 6840

There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

How many unique "words" can be made from all the letters in TURKEY?

• 6

• 60

• 72

• 720

• 2

• 24

• 1,680

• 40,320

Evaluate ₁₀P₃

• 3,628,800

• 5,040

• 720

• 120

Four names will chosen randomly from a list of twenty entries to be in a group that travels to Europe. How many unique possibilities are there?

• 80

• 4,845

• 116,280

• 160,000

Suppose that you have 12 books that are all different from each other. You've decided to let a friend borrow 3. How many different ways could your friend decide which books to borrow?

• 36

• 1728

• 1320

• 220

The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

• 9! = 9*8*7*6*5*4*3**1

• 15

• 54 = 9*3*2

You have DVD collection with 20 DVDs. You can only take five DVDs with you on vacation. How many different sets of five DVDs can you take?

• 15504

• 20!

• 5!

There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?

• 3!

• 2730

• 15!