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
What is the probability of rolling a 4 or a 5 on a die
36894
What is the probability of rolling a 3 or an even number on a die
36925
When are two events non-mutually exclusive
When they have some outcomes in common
What is the probability of drawing a black card or a King from a deck of 52 cards
37085
What is the probability of drawing a red card or a face card from a deck of 52 cards
37116
How many ways can 6 books be arranged on a shelf
720
In how many ways can a committee of 3 be chosen from a group of 10 people
120
A locker has a 4-digit code using the numbers 0-9 without repetition how many possible codes are there
5040
A coin is flipped 3 times what is the probability of getting exactly 2 heads
36958
A bag contains 4 red balls 5 blue balls and 6 green balls if one ball is drawn what is the probability it is blue
5/15 or 1/3
