"All possible arrangements of a collection of things, where the order is important" is the definition for this.
What are permutations?
100
"A joining or merging of different parts or qualities in which the component elements are individually distinct" is the definition for this.
What are combinations?
100
! is the symbol for this.
What are factorials.
100
When you have 7!/5!, it is written out as (without multiplying)
7*6
200
n!/(r!(n-r)!) is the expression to this.
What is combination?
200
"Creating a license plate. Both order and the characters in it matter and you cannot use the same one twice" this is the example for this.
What are permutations?
200
"A hand of cards in poker, where what the cards are matter but order does not." This is an example for this.
What are combinations?
200
n! is the formula for this.
What are factorials?
200
There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible?
12
300
5!/(3!(5-3)!) is the expression for this.
What is combination?
300
Count the number of 4-letter words that can be formed using letters from the word STOP. What is the answer?
4! = 24 "words"
300
True or False, combinations are order important?
False
300
6! is an example of this.
What are factorials?
300
If you try typing 56234! into your calculator, what error message appears?
What is OVERFLOW?
400
5!/(5-3)! is the expression for this.
What is permutation?
400
How many distinguishable 9-letter words can be formed out of EXCELLENT?
9!/(3!*2!) = 30240 "words"
400
How many possible combinations are there of a five card hand?
2598960
400
What is 7!/4! equal to?
What is 210?
400
Luigi sells one size pizza, but he claims that his selection of toppings allow for "more than 4000 different choices." What is the smallest number of toppings Luigi could offer?
What is 12?
500
n! is the expression for this.
What is factorial?
500
How many ways can 7 digits (without repetition) be chosen to form a telephone number?
10!/(10-7)! = 604800
500
How many 10 person committees can be formed with a group of 20 people?
184756 committees
500
What is 9! written out (without multiplying)?
9*8*7*6*5*4*3*2*1
500
A ( followed by n stacked over r then another ) is a different notation form of this.
(n
r)