Permutations and Combinations –
Worksheet #3
1)
Vince is going to listen to five songs on the way to work. In how
many different orders could he play the five songs?
2)
Jane must call 3 of her friends (Sue, Beth, and Ann) to tell them
about her birthday party. In how many different orders could she
make those calls? SHOW EVERY WAY USING SOME KIND
OF CHART!
3)
Ten sprinters run the 100-meter dash. How many different ways
can the top 3 finish?
4)
Kip has a coupon for a pizza with 3 toppings. He can choose from
pepperoni, sausage, mushroom, pineapple, and green peppers.
How many different combinations of toppings can he order?
SHOW EVERY WAY USING SOME KIND OF CHART!
Permutations and Combinations –
Worksheet #3
5)
Rosie is trying to decide what to wear to school. She can wear
sneakers or sandals. She can wear blue jeans, khaki pants, or
shorts. She can wear a T-shirt or a turtleneck sweater. How many
different outfits could she go to school in? SHOW EVERY WAY
USING SOME KIND OF CHART!
6)
There are 5 students (Bob, Dan, Elle, Sue, and Will) remaining in
the spelling bee. How many different ways could the top 2 finish?
SHOW EVERY WAY USING SOME KIND OF CHART!
7)
Kevin spins the spinner, flips the coin, and tosses the 6-sided die.
How many different outcomes are there?
1
2
4
3
Permutations and Combinations –
Worksheet #3
8)
A combination lock uses permutations. (Even though it carries the
name “combination”...order definitely matters!) The lockers in the
hallway have 49 numbers you can dial. Each combination contains
3 numbers. How many “combinations” are possible?
9)
There are 4 graduation tickets available for the Jones family (Judy,
Bill, Tad, Vicki, and Cale). How many different ways can the
tickets be distributed? SHOW EVERY WAY USING SOME
KIND OF CHART!
10) A soccer league consisting of 4 teams (Artsies, Berries, Chatters,
Diggers) has each team play the other teams 3 times. How many
total games will be played? SHOW ALL USING SOME KIND
OF CHART!