Math; Permutations

How many combinations of a president, vice-president, secretary, and treasurer can be chosen from a group of 12 students?

11,880

5!

120

Evaluate 6P3.

120

How many different ways can five dolls be arranged?

120

The factorial 4! is equal to ______.

24

There are eight runners in the 100-meter dash. In how many ways can the runners finish first, second, and third?

336

8!

40,320

7!

5,040

You can remember the three numbers to your combination lock, but you can't remember their order. How many different combinations of the three numbers will you have to try, at most?

6

6!

720

You have eleven books but only have room for six of them on your shelf. This means that you can arrange the books 39,916,800 ways.

False

Order is important in permutations.

True

permutations

arrangement of objects in which order is important

factorial

the product of a natural number and all of the natural numbers less than itself

counting principle

uses multiplication to find the possible number of outcomes