# permcombcpreview

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```					Name___________________________________________________ Date___________ Period____________
Permutation/Combination/Counting Principle   Level 1

For the following determine if it is a Permutation or a Combination

1. Two students are selected randomly from 32 to get a piece of candy

2. 10 athletes trying out for 6 different positions on the team

3. 10 athletes trying out for 6 spots on the team.

4. The playing order of 4 different bands on Friday night.

5. 10 students selected out of 32 to sit in the front row

6. You can pick 2 toppings out of 15 for your ice cream cone.

7. 4 contestants chosen from 150 audience members

8. A 1st , 2nd and 3rd place trophy awarded to 8 students

9. 3 honorable mentions awarded to 8 students

10. Selecting a president, vice president and secretary from 16 candidates.

11. Giving out a prize of \$100 and a prize of \$50 to 600 people.
Name___________________________________________________ Date___________ Period____________
Permutation/Combination/Counting Principle   Level 2

Determine if the question is a Counting Principle/Combination or Permutation. Then solve.
1. Eight runners are competing in the 2. Sarah has to pick 4 books to read    3. Cory is getting dressed for school.
100 meter dash. In how many ways from her summer reading list of 12           He has 5 pairs of pants, 6 shirts, 3
can the runners finish? (suppose        books. How many ways could she        belts, and 2 pairs of shoes to choose
there are no ties)                      pick her 4 books?                     from. How many different outfits can
he make?
a.
a.
b.                                      a.

b.
b.

4. Suppose there are 12 seniors on a    5. Thomas is remodeling his living        6. You just ordered a new book
girls’ high school volleyball team.     room. He is deciding on the options       online. They gave you a shipping
How many different ways can three       shown:                                    code to track your order. It has 2
captains be picked?                                                               letters followed by 2 digits and ends
Floor: Carpet, Hardwood, Tile             in 2 letters. If letters and digits are
a.                                      Paint: Khaki, Green, Red, Blue            allowed to repeat, how many
Seating: Leather Sofa, Cloth Sofa         different shipping codes are
Entertainment: LCD TV, Plasma TV          available?
b.
If Thomas is choosing 1 from each         a.
of the categories shown, how many
ways can Thomas remodel his living
room?                                     b.

a.

b.

7. Using a standard deck of 52 cards,   8. Jared is buying valentines gifts for   9. Six friends are lining up to ride a
how many 5 cards hands are              his girlfriend. At the store there are    roller coaster. How many different
possible?                               12 choices of flowers bouquets and 7      ways can they sit in 6 different seats?
different boxes of chocolates. How
many ways can he buy a bouquet of
flowers and a box of chocolate?           a.
a.
a.
b.
b.
b.
Name___________________________________________________ Date___________ Period____________
Permutation/Combination/Counting Principle/Probability Level 3

1. a) A school’s student council has 16 members, including 4 seniors. There are 4 members randomly chosen to
represent the student council at a school open house. What is the probability that all 4 council members chosen
are seniors?

b) The council just added another member who was a senior. Assuming they will still only pick 4 people what
is the probability that they will all be seniors?

2. a) The Mega Millions lottery has a drawing today. There are 56 balls and the lottery picks 5. In order to win
you much match the numbers in exact order. What is the probability that can win the lottery?

b) If you match 2 numbers you win \$100. What is the probability of winning \$100?

3) a) You are playing 5 card stud poker. This is where you are dealt exactly 5 cards and the best hand wins.
What is the probability of being dealt a royal flush? (Royal flush is the 10, Jack, Queen, King and Ace allof the
same suit)

b) What is the probability of being dealt a 4 of a kind?

c) What is the probability of being dealt a flush? (all 5 cards are the same suit)

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