7-1 Permutations and Combinations

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

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

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 

• ₁₅C₂=105
• ₁₅P₂=210
• 15 x 2 = 30
• 100 ways

What is the value of 8!

• 40320
• 36
• 362880
• 5040

An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

• 6!

• 120

• 20

• 3!

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

• 40!

• $\frac{8}{40}=0.2$

• 8!

• 76904685