Perilous Permutations
The number of ways that an array of 5 unique integers can be arranged.
5! = 120
For two sets A and B, |A| + |B| - |A ∩ B|.
What is the principle of inclusion-exclusion for two groups?
The number of possible pizzas one can construct from 3 topping choices, 1 sauce type, and 2 crust types, given a pizza must have exactly 1 topping, sauce, and crust.
If there are 5 erasers, 2 pencils, and 3 pens, and I draw one object at random, this is the probability that I draw a writing implement.
What is 50%?
The combination without repetition formula.
What is (n!)/(r!*(n-r)!)?
The permutation without repetition formula.
What is n!/(n-r)!
Given that there's 213 pokemon that are either fire or flying type, if 132 are flying and 206 are fire, this is the number of pokemon that would get destroyed by Geodude (both fire and flying type).
What is 125 pokemon?
The number of possible sets one can construct from the elements in the set {Mu, Lambda, Alpha, Gamma, Xi, Nu, Kappa}.
What is 128?
If there is a lottery where you win if you select the correct 4-digit number at random, this is the probability that you guess at least three digits correctly.
What is 0.37%?
(For no particular reason) The number of intersections can be constructed from sets A, B, C, and D.
What is 6?
The number of ways that one can order 3 numbers from an array consisting of integers 1-100.
What is 970,200?
What is 310?
The number of possible possible gameObjects one can make if the id is 0-99, and there are three component types which the object can have at most one of each.
What is 800?
This is the probability that I receive all four aces at the start of a war game given there are only two players. (There are 52 cards)
What is 0.06%?
The number of 5-card poker hands that can be constructed from a standard deck of 52 playing cards
What is 2,598,960?
The number of possible strings of length 4 that can be made with the letters in the word "escape".
The inclusion-exclusion principle for 4 groups.
What is |A| + |B| + |C| + |D| - |A ∩ B| - |B ∩ C| - |C ∩ D| - |A ∩ C| - |B ∩ D| - |A ∩ D| + |A ∩ B ∩ C| + |B ∩ C ∩ D| + |A ∩ C ∩ D| + |A ∩ B ∩ D| - |A ∩ B ∩ C ∩ D|?
The number of possible pizzas one can construct at a fancier pizza place where there are 4 topping options, each of which can be placed on either just half of a pizza or on the whole thing or not at all and there are 3 crust options and 2 sauce options. A pizza must have exactly one sauce and crust selection.
What is 486?
What is (2n+1)/n2?
The number of integer solutions are there to the equation x+y+z=22.
What is 276?
Given that on a bookshelf lies the Hobbit Trilogy, all 7 books the Harry Potter series, and all 5 books of the Percy Jackson series, this is the number of permutations given that all of the Percy Jackson Books are together where we only care about which series the book is in.
What is 158400?
Whoops, my calculator broke and it told me there are 115 billion possible passwords of length 6 when at least 1 number and 1 capital letter are required (password is case sensitive), when it's really this.
What is 35 billion?
The number of possible pixel art using 4 colors in a 8 by 8 grid where rotations of images are considered identical.
What is 8.5 * 10^37?
The probability a random relation on a set of five elements {a, b, c, d, e} is symmetric?
What is 0.098%
Whoops my calculator broke and I found that there are 2.01 * 10^29 possible starting 7-card hands for 4 players, when it really this.
What is 2.01 * 10^29? (Haha, I tricked you!)