Permutations
Combinations
Fundamental Counting Principle
Simple Events
Compound Events
100
How many different ways can you rearrange the word "Starbucks"
What is 362,880
100
On an 8 member volleyball team, how many different 6 player starting teams are possible?
What is 28
100
A store advertises that they have a different T-shirt for each day of the year. The stores offers 32 different T-shirt designs and 11 choices of color. Is the advertisement true? Explain
What is The advertisement is false because there's 365 days in a year. And there's only 352 outfits, which is less than 365.
100
What is the probability of Melissa rolling an odd number on a 10-sided die?
What is 1/2
200
There's a lock with 39 numbers and you can only have 3 codes to unlock the lock. Without repeats. Find the permutation.
What is 54834
200
How many combinations are there of 10 sitting at a table in the cafeteria?
What is 3628800 Combinations
200
What is the probability of choosing a red marble out of 1 red, 1 blue, 1 yellow, and 1 green?
What is 1/4
300
How many ways can 15 student sit at a table for 6 students?
What is 32,432,400 possible ways
300
There are 6 ingredients that can be added in Mr. Jellyfilled's sandwich: Ham, Bacon, American Cheese, French fries, Hamburger, Hot dog slices. In how many ways can the ingredients be arranged if Mr. Jellyfilled can put only 3.
What is 20 combinations
300
Find the number of outcomes if five number cubes are rolled at one time during a board game.
3125 possible outcomes
300
A cake has 3 flavored icings on it. The cake has equal amounts of slices per frosting type. Chocolate, strawberry, and vanilla frosting. What is the chance of getting vanilla frosting if only 4 slices have it?
What is 1/3
300
If there are 20 water balloons in a bucket 3 are blue, 2 are red, 5 are yellow, 6 are green and 4 are purple, what is the profitability you will pull one purple and 1 yellow if the purple balloon is not replaced.
1/19
400
Becky has 5 shorts she wears the pink ones Monday, the green ones Tuesday, the blue ones Wednesday, the black ones Thursday, and the purple ones Friday. How many permutations are there?
1
400
Jeff is making donuts. Each donut can have 2 different types of frosting on top of them. He has chocolate frosting, pink frosting, vanilla frosting, dark chocolate frosting, and lemon frosting. How many different combinations will Jeff have?
What is 10
400
Choosing a way to drive from Millville to Westwood if there are 5 roads that lead from Millville to Miamisburg, 3 roads that connect Miamisburg to Hathaway, and 4 highways that connect Hathaway to Westwood.
5 * 3 * 4 = 60
400
The names of 24 students of which 14 are girls and 10 are boys, in Mr Santiago's science class are written on cards and placed in a jar. Mr Santiago randomly selects two cards without replacing the first to determine which students will present their lab reports today. Find the probability that two boys are selected
15/92
500
n the talent show, there are 3 kids in the finals. Melissa, Danielle, and Angel are the finalists. They don't know who is doing their act first. In how many ways can they be ordered?
What is 6
500
A cupboard contains 20 soup cans. 7 are tomato, 4 are cream of mushroom, 5 are chicken, and 4 are vegetable. If one can is chosen at random from the cupboard, what is the probability that it is neither cream of mushroom nor vegetable soup?
60/100 or 60%
500
What is the probability that out of 10 kids in a class, 8 of them will choose an even number and 2 of them will choose an odd number as their favorite number if it is equally likely?
What is 1/1024
M
e
n
u