Show:
Arrangements
Permutations
Combinations
Word Problems
"And"/"Or"
100
How many different 3 number codes can you create?
What is 1000
100
How many ways can you arrange 6 people in 6 different seats?
What is 720
100
Which situation has more possibilities if there is no repetition in either, when order matters, or when order doesn't matter?
What is order matters
100
A card is drawn at random from a deck of cards. Find the probability of getting the 3 of diamond.
What is 1/52
100
If 2 marbles are drawn at random from a bag containing 4 red marbles, 2 green marbles and 1 black marble, what is the probability of drawing a black marble or a green marble?
What is 3/7
200
How many different 4 scoop ice cream cones can you make using 6 ice cream flavours if the order they are placed in is important?
What is 4096
200
How many different ways can 3 people win gold, silver or bronze if there are 10 people competing for those prizes?
What is 720
200
An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?
What is 20
200
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
What is 3/12
200
In a deck of cards, what is the probability of drawing a King and then a Queen if you replace the first card?
What is 16/2704
300
You want to get a cell phone and you must decide on the right plan. If there are 10 different phones, 6 different calling plans and 3 different texting plans, how many different plans could you pick from if you can choose one phone, one calling plan and one texting plan?
What is 180
300
The company Sea Esta has ten members on its board of directors. In how many different ways can it elect a president, vice-president, secretary and treasurer?
What is 5040
300
In a lottery, 4 balls are chosen at random from a lottery machine with 30 balls numbered 1-30. How many different combinations of numbers can there be?
What is 27404
300
A card is drawn at random from a deck of cards. Find the probability of getting a queen.
What is 4/52
300
What is the probability of rolling a dice and rolling two 6 in a row?
What is 1/36
400
The model of the car you are thinking of buying is available in nine different colors and three different styles (hatchback, sedan, or station wagon). In how many ways can you order the car?
What is 27
400
Seven bands have volunteered to perform at a benefit concert, but there is only enough time for four of the bands to play. How many lineups are possible?
What is 840
400
A four-person committee is to be elected from an organization’s membership of 11 people. How many different committees are possible?
What is 330
400
Two dice are rolled, find the probability that the sum is equal to 5
What is 4/36
400
What is the probability of drawing a 10 spade from a deck of card and then without replacing it, drawing another spade?
What is 156/2652
500
How many different license plates can you have if there are 3 numbers followed by 3 letters for each license plate?
What is 17576000
500
In a production of Grease, eight actors are considered for the male roles of Danny, Kenickie, and Marty. In how many ways can the director cast the male roles?
What is 336
500
You are on your way to Hawaii (Aloha) and of 15 possible books your parents say you can only take 10. How many different collections of 10 books can you take?
What is 3003
500
If the probability of having a baby girl is 42.5%, how many baby girls will be born in Canada in 2015 if there are 100 000 babies born every year?
What is 42500
500
In a bag of marbles, there are 3 blue marbles, 6 green marbles and 3 purple marbles. If you pick two marbles without replacing the first one, what is the probability of picking 2 purples or a blue then a green?
What is 24/132