Permutation and Combination

Which of these situations does NOT illustrate combination?

• Opening a combination lock.

• Selecting 5 people to form Student Affair Committee.

• Listing the elements of subsets of a given set.

• Drawing a set of 6 numbers in a lottery containing numbers 1 to 45.

Tags

CCSS.HSS.CP.B.9

 Evaluate        $\frac{12!}{10!}$  

• 132

• 100

• 32

• 2

 Give the value of        $\frac{P\left(10,4\right)}{5}$  

• 5 040

• 4 050

• 2 008

• 1 008

Tags

CCSS.HSS.CP.B.9

 What is the value of        $C\left(8,5\right)$  

• 100

• 56

• 40

• 13

Tags

CCSS.HSS.CP.B.9

  How many different ways can 7 students be seated in a row of 3 chairs?

• 3

• 7

• 120

• 210

Tags

CCSS.HSS.CP.B.9

  How many triangle can be drawn on a plane using 9 non-collinear points? 

• 3

• 9

• 84

• 504

Tags

CCSS.HSS.CP.B.9

Three security guards must be assigned during the night.  How many ways can the 3 security guards be chosen from 8 available security guards? 

• 56

• 66

• 76

• 86

Tags

CCSS.HSS.CP.B.9

If there are 15 people at the party, how many possible handshakes can they make?

• 15

• 55

• 105

• 205

Tags

CCSS.HSS.CP.B.9

Dan's basketball team has 11 players.  How many ways can his coach choose five starting players?

• 55

• 462

• 1 000

• 55 440

Tags

CCSS.HSS.CP.B.9

How many ways can the letters of the word “MANILA” be arranged?

• 360

• 260

• 160

• 60

Tags

CCSS.HSS.CP.B.9