ELMATH Flashcards
What is the definition of a factorial
The product of all positive integers from 1 to n
What is 4! equal to
24
Are negative integer factorials defined
No they are undefined
What is the formula for n! based on the recursive definition
n! = n(n-1)! for n > 1
What is the value of 0!
1
What is the value of 1!
1
What principle is used to determine the number of possible outcomes
Fundamental Counting Principle
If a restaurant has 8 beverages and 6 desserts how many meal combinations are possible
48
What is the formula for permutations of n objects taken r at a time
nPr = n! / (n - r)!
How many ways can you award 1st 2nd and 3rd place among 8 contestants
336
What is the formula for permutations of n objects taken all at a time
nPn = n!
In how many ways can 5 people arrange themselves in a row
120
What is the formula for distinguishable permutations
P = n! / (p!q!r!…)
How many permutations are possible for the letters in STATISTICS
50400
What is the formula for circular permutations
P = (n - 1)!
In how many ways can 3 people be seated around a circular table
2
What is the definition of a combination
An arrangement where order does not matter
What is the formula for combinations
nCr = n! / (r!(n - r)!)
How many ways can you choose 8 out of 32 playing cards
10518300
What is an experiment in probability
A happening with an uncertain result
What is a sample space in probability
The set of all possible outcomes
What is an event in probability
A subset of the sample space
What is the probability of rolling a 5 on a fair six-sided die
36897
When are two events mutually exclusive
When they have no outcomes in common
