Combinations Permutations

The student council is selling sweatshirts with the school name and emblem.  The shirts come in colors, styles, and sizes.  There are 3 colors (white, gray, black); 2 styles (hooded, crew); and 3 sizes (small, medium, large).  How many different types of sweatshirts are available?

• 11

• 18

• 9

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

• 100

• 10

• 720

• 1000

NJ license plates have 3 letters followed by 4 numbers. If the same letter cannot be repeated, how many can be made?

• 156,000,000

• 156,000

• 100,000,000

• 100,000

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

• Permutation

• Combination

• Factorial

• MPC

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

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8

• 64

• 8!

• 56

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

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

• Permutation

• Combination

• Neither