Combinations and Permutations

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

₂₀P₂

• 20
• 380
• 6840
• 116280

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions
• Permutations with 10 choices and 5 positions
• Permutations with 5 numbers and 10 operations
• Permutations with 5 hot dogs and 10 drinks

At the middle school, a student takes 4 core classes a day.  There are 6 different core classes offered.  How many different combinations of classes are there?

• 24
• 15
• 720
• 360

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

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

• Permutation
• Combination
• Neither

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

• Combination
• Permutation

7!

• 4050
• 5400
• 5040
• 4500

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625
• 4.36 X 10¹⁰
• 1,081,575