Factorials and Permutations

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

• 272

• 4080

• 680

What is the number of permutations of the word "LEADER"?

• 360

• 720

• 120

• 240

In how many ways can a committee of 3 members be selected from a group of 10 people?

• 120

• 720

• 210

• 10

A chef is preparing a special dish that requires him to use 8 different spices. If he decides to use only 4 of these spices for a particular sauce, in how many ways can he choose them?

• 1,680

• 840

• 70

• 2,520

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 9!

• 3!

Find the possibilities when a group of 15 people are going to run a race.  How many ways can you award 1st, 2nd and 3rd?

• 2.7 x 10¹²

• 120

• 3003

• 2730

If you have 8 different spices and you want to select 3 of them to arrange in a row on your kitchen shelf, how many different arrangements are possible?

• 336

• 56

• 40320

• 720

Expand 4!

• 4+3+2+1

• 4 * 3 * 2 * 1

• 4+5+6

• 4

Which is a factorial?

• 3!

• 3a

• 3?

• 3*

6!

• 6

• 46656

• 720

• 21