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Each island is connected to all its adjacent islands by horizontal and vertical bridges exactly one-mile long. There are no diagonal bridges.
How many different ways can be made from a test bank of 20 questions if the test consists of 5 questions?
There are 8 members on the board of directors. If they must form a subcommittee of 6 members,how many different subcommittees are possible?
A grocery store is arranging the Coke and Pepsi products for display on one row of shelving. The store carries 5 Coke products Coke Classic.
Jesse has collected 24 baseball cards. Use combinations to find the number of ways to choose 5 to put on the cover of his album.
Explain what outcomes of an experiment are. What does it mean to have equally likely outcomes? Provide examples to illustrate.
At the downtown office of First National Bank there are five tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5.
Counting ones. If you write down the integers between 1 year do you get a whole number when you divide the day number by the month number?
Neither. A line of people is neither an ordered arrangement of objects nor a selection of objects from a group of objects.
Four (standard) dice (cubes with 1,2,3,4,5,6 respectively,dots on their six faces) each of a different color are tossed each landing with one of its faces up.
If you flip a coin twice, what are the chances that you will get one head and one tail (i.e. one in three, one in four, etc.)?
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A.
How many different 4-letter radio station call letters can be made if repeats are allowed and the first letter MUST be K?
Use the theorem below to determine the number of nonequivalent colorings of the corners of a rectangle that is not a square with the colors red and blue.
The output is an array representing the union of the two sets - again, each value appears only once.
Identify a set and elements of the set that would make up subsets from the original set.
Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}?
M(m,n,S) is the notation for the set of matrices with m rows and n columns, such that each element is a member of the set S.
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors.
What is the intersection of A and B and C? What is the union of A and B and C?
Give an example of a set S such that: S is contained in P(N) N=natural #'s
As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants.
While shopping for a new outfit, Shareen finds five dresses she likes as well as three pairs of shoes and six different handbags.
A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9.
Describe what is meant by the intersection of two sets and give an example from the previously two created sets of their intersection.