Permutation and Combination

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! x n!

• m x n

• m!

• n!

Tags

CCSS.HSS.CP.B.9

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

• Factorial

• Tree diagram

• Permutation

• Listing

Tags

CCSS.HSS.CP.B.9

In how many ways the letters of the word “RUNNING” be arranged?

• 5040

• 2520

• 1260

• 840

Tags

CCSS.HSS.CP.B.9

What concept is involved when the letters of the word “FAIR” taken 4 at a time equals 24?

A.     Combination

B.     FPC

C.      Permutation

D.     Probability

ANSWER: C

• Combination

• Fundamental Counting Principle

• Probability

• Permutation

Tags

CCSS.HSS.CP.B.9

How many permutations are there in the letters of the word HELPING if ING remain in that order?

• 1000

• 720

• 380

• 120

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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?

A.     24

B.     360

C.      720

D.     1296

• 24

• 360

• 720

• 1296

Tags

CCSS.HSS.CP.B.9

There are 7 dots randomly placed on a circle, how many triangles can be formed using dots as vertices?

• 7

• 20

• 35

• 84

Tags

CCSS.HSS.CP.B.9

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens be chosen?

• 19

• 30

• 38

• 180

Tags

CCSS.HSS.CP.B.9