Mastering Permutations and Combinations

The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.

• Permutation

• Combination

• Neither

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 1.3 x 10¹²

• 120

• 32760

• 360,360

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480

• 0

• 42,504

• 5.17 x 10²¹

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination

• Permutation

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a positions on the student council.

• Combination

• Permutation

Determine whether the following scenarios are a permutation or a combination:
 
Choosing a committee from student council

• Combination

• Permutation

There are 6 roads from Ponder to Justin, 2 roads from Justin to Halslet, and 3 roads from Haslet to Saginaw.  How many possible routes are there from Ponder to Saginaw using only these roads and no backtracking? 

• 12

• 11

• 18

• 36

How many different ways can you arrange the letters in the word "MATH"?

• 12

• 24

• 48

• 120

• 60

• 100

• 120

• 150

In how many ways can you choose 3 students from a group of 10 students?

• 320

• 720

• 30

• 120