Permutation

If one event can occur in m ways and a second thing can occur in n ways, then which expression gives the number of ways both events can occur?

• 𝑚! 𝑛!

• 𝑚 × 𝑛

• 𝑚!

• 𝑛!

Which expression is equivalent to 𝑛!?

• 𝑛(𝑛−1)(𝑛−2)...2×1

• 𝑛–(𝑛–1)

• 𝑛(𝑛−1)

• (𝑛–1)(𝑛–2)

It is referred to as an arrangement of things in definite order or distinct arrangement of distinguishable objects.

• factorial

• tree diagram

• permutation

• listing

A coat hanger has four knobs, and each knob is to be painted by a distinct color. If six different colors of paint are available, how many ways can the knobs be painted?

• 24

• 360

• 720

• 1,296

Evaluate 7P5.

• 42

• 120

• 2,520

• 5,040

A new model of a car is available in six exterior colors, three interior colors, and two interior styles. How many versions of car are available for order?

• 2

• 6

• 36

• 720

A multiple-choice test contains five questions, and each question has four options. In how many ways can the five questions be answered?

• 20

• 25

• 625

• 1024

A bookshelf has five different Algebra books and n different Geometry books. If there are 40,320 ways to arrange the books on the shelf, how many Geometry books are on the bookshelf?

• 6

• 5

• 4

• 3

How many ways can the letters from the word FLEA be arranged such that each “word” starts with a consonant and ends with a vowel?

• 8

• 12

• 24

• 27

How many three-digit numbers can be formed using the digits 5, 7, 8 and 2 if the digits cannot be repeated?

• 24

• 64

• 256

• 512