Combinations/Permutations

solve the following combination: Selecting which seven players will be in the batting order on a 9 person team.

• 36

• 30

• 72

• 18

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

• Combination

• Permutation

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

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2

• 12 because 2 x 3 x 2

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

An internet code consists of one digit followed by one letter,  The number zero and letter O are excluded.  How many codes are possible?

• 35

• 260

• 225

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

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

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