Quiz - Combinations and Permutations

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

• 12

• 60

• 15

• 125

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

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

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination

• permutation

• neither

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination

• permutation

• neither

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!

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220

• 36

• 1320

• 100