Simple and Compound
Probability
Permutations
Combinations
Basic Principles
of Counting
Factorials
100
When rolling a die, what is the probability of rolling an even number?
1/2
100
What is the value of 7P4?
840
100
How many ways are there to pick a team of 3 people from a group of 10?
120 ways
100
Ms. Wilson is redecorating her office. She has a choice of 5 colors of paint, 4 kinds of curtains, and 3 colors of carpet. How many different ways are there to redecorate?
60 ways to redecorate
100
What is 9!?
362,880
200
When rolling a die, what is the probability of rolling an even number or a multiple of 5?
2/3
200
How many 3-digit numbers can be made using the digits 2, 3, 5, 8, and 9?
60
200
Calculate 11C5.
462
200
Michelle has 3 hats, 4 scarves, and 2 pairs of mittens. In how many different ways can she wear a hat, a scarf, and a pair of mittens?
24 different ways
200
How many 4-digit numbers can be made using the digits 1, 2, 3, and 4 without repetition?
24 4-digit numbers can be made
300
What is the probability of rolling a 3 on the first roll and a 6 on the second roll?
1/36
300
A rat, a cat, and an ostrich raced a mile. How many different ways could these three runners finish the race in 1st, 2nd, and 3rd places?
6 different ways
300
BC Pizza has 10 different pizza toppings. How many different 4-topping pizzas can be made?
210
300
Michelle has 3 hats, 4 scarves, and 2 pairs of mittens. In how many different ways can she wear a hat, a scarf, and a pair of mittens?
24 different outfits are possible
300
How many ways are there for six people to line up at the ticket office of a movie theater?
720 ways to line up
400
What is the probability of drawing a red queen from a deck of 52 cards?
1/26
400
How many ways are there to group 4 letters from 10 letters?
5,040 different ways to group 4 letters
400
How many ways can I give 3 tin cans to 8 people?
56 ways
400
Craig is going to buy a car from Company A, Company B, or Company C. Company A sells 10 different models of cars, Company B sells 8 different models of cars, and Company C sells 5 different models of cars. From how many different models of cars can Craig choose?
23 models of cars
400
How many ways can you order 10 books on a shelf?
3,628,800 ways
500
A coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows a 3 or 4?
1/6
500
How many different ways are there to arrange groups of 2 letters from the word CAT without repeating any of the letters?
6 ways
500
A box contains 8 tiles, each a different color. Sally is going to select 2 tiles without replacement. How many different groups of 2 differently-colored tiles could Sally choose?
28 tiles
500
Juliet has 2 swimsuits, 3 towels, and 2 bathing caps. How many different combinations of 1 swimsuit, 1 towel, and 1 bathing cap could she take to the pool?
12 combinations
500
To log on to the school computer system, each student must choose a password with 2 numbers and 2 letters in that order. Each letter and number may be used only once. How many different passwords are possible?
58,500 different passwords are possible
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