A bit string is a finite sequence of 0's and 1's. How many bit strings have length 8?
What is with repetition?
100
The number of 4 character PINs using letters and numbers.
What is 36^4 or 1,679,616?
200
The state of California is designing new license plates with the format of three letters followed by three numbers. How many possible license plates can California make using this format?
What is an example of a Permutation?
200
The formula for Permutation (without repetition).
What is P(n,r) or n!/(n-r)!?
200
The probability that a card chosen from a regular deck is black and is a face card.
What is 6/52 or 3/26?
200
A doughnut shop offers 6 different types of doughnuts. How many ways can you buy a dozen doughnuts?
What is with repetition?
200
The number of 2-combinations of {X, Y, Z}.
What is 3?
300
In how many ways can you select a committee of 4 people from a group of 10 members?
What is an example of a Combination?
300
The formula for a Permutation with repetition.
What is n^r?
300
The probability that the sum of of the two numbers when two dice are rolled is 8.
What is 5/36?
300
The basketball coach is putting together the lineup for the first game of the season. There are five players whom the coach has to select to be on the starting five. How many different starting lineups can the coach create?
What is without repetition?
300
The number of 2-permutations of {X, Y, Z}.
What is 6?
400
How many ways can the letters in MISSISSIPPI be arranged?
What is an example of Permutation?
400
C(r+n-1, r) or (r+n-1)
r
What is the formula for a Combination with repetition?
400
Suppose on a true/false exam you have no idea at all about the answer to three questions. What is the probability that you only get one of the questions right?
What is 3/8?
400
Four people are chosen for a psychology experiment. How many ways can the four people be selected from a pool of30?
What is without repetition?
400
The number of ways the letters in TENNESSEE can be arranged in an order.
What is 3780?
500
Suppose a group of twelve consists of five men and seven women. How many five-person teams can be chosen that consist of three men and two women?
What is an example of a Combination?
500
Number of outcomes
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The total number of outcomes
What is the probability formula?
500
What is the probability that a randomly chosen positive two-digit integer is a multiple of 3.
What is 1/3?
500
A combination lock requires three selections of numbers, each from 1 through 30. How many different combinations are possible?
What is with repetition?
500
The number of solutions to the equation:
x + y + z = 16