Permutations
Does order matter in permutations?
YES
Does order matter in combinations?
NO
4!
24
If there are 5 red socks, 4 blue socks, and 3 yellow socks in a bin, what is the probability you draw a red sock from the bin. SIMPLIFY
1/3
1st president
George Washington
How many ways can you arrange 3 letters from "ABC"?
6
How many ways can you choose a committee of 4 people out of a pool of 10.
210
5!*3!
720
Solve for X:
20x2+15=95
x=2,-2
2nd president
John Adams
If you have 6 markers of all different colors, how many ways can you arrange 2 of those 6 colors.
30
You have 4 different pizza toppings: pepperoni, mushrooms, onions, and olives. If you want to choose 2 toppings for your pizza, how many different toppings combinations can you make (assuming the order in which you choose the toppings doesn't matter)?
6
7!/5!
42
Solve the System of Equations:
y-x=-1
2x-y=-2
(-3,-4)
3rd President
Thomas Jefferson
There is a lock with a three slot where a digit 0-9 can go in each slot. How many different lock combinations can be made using this lock if no numbers repeat.
720
From 15 students, in how many ways can you form a committee of 3 if one particular student must be included?
91
(4!)(3!)/5!
6/5
-44
-256
4th President
James Madison
How many distinct arrangements of the letters in the word STATISTICS are there such that no two S's are adjacent. (EXTRA HARD)
23,520
How many ways can 15 identical candies be distributed among 4 children if each child must receive at least 1 candy.
364 ways
How many ways can you order the letters in the word FAHRENHEIT?
840
Given that the probability of drawing a red sock from a drawer is 7/31, a blue sock is 16/31, a yellow sock is 3/31, and a black sock is 5/31, what is the probability that you draw a (red sock and then a blue sock) or (a yellow sock and then a black sock.)
127/930
31st president
Herbert Hoover