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A television commercial for Little Caesars pizza announced that with the purchase of two pizzas, one would receive free any combination.
Given a two-step procedure where there are n1 ways to do Task 1, and n2 ways to do Task 2 after completing Task 1.
The student chooses two different main menu selections (must be different) and one salad?
If a committee varies its meeting days, how many meetings must it schedule before we can guarantee that at least two meetings will be held.
A seven-person committee composed of Adam, Betty, Cameron, David, Edward, Fritz, and Grace is to select a chairperson, secretary.
How many ways can a person select three appetizers and two soups if there are six appetizers and five soups on the dinner menu?
Two stores sell a certain product. Store A has 35% of the sales, 3% of which are of defective items, and store B has 65% of the sales.
What are the three approaches to determining probability? Explain the differences among them.
At the first meeting of a committee to plan a Northern California pow-wow, there were 3 women and 3 men from the Miwok tribe.
Explain permutations and combinations and the differences between the two. Use examples to illustrate.
In furnishing their new office space, a company allows each employee to select a desk, a chair and a bookcase or file cabinet based on personal preference.
How many odd four-digit numbers, all of the digit different can be formed from the digits 0 to 7, if there must be a 4 in the number?
Consider the multiset {n times a, n times b, 1,2,3...,n+1} of size 3n+1. Determine the number of its n- combinations.
What is the probability that the red rooks are both in rows 1,2,3,4,5 and in columns 1,2,34,5?
Prove that the intersection of R and S of two equivalence relations R and S on a set X is also an equivalence relation on X.
How many groups are possible if any number (at least 1) up to 3 representatives can form a group?
If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?
A car is available in three types of models and in three types of colors. In how many combinations can you buy the car?
There are 24 numbers with at least 3 or 4 of them guaranteed in a lottery drawing. write down all possible combinations in the 24 number matrix.
For a Data Management quiz, the teacher will choose 11 questions from the 15 in a set of review exercises.
A group organizing Smith College's alumni reunion includes 6 current students, 8 current staff members and 11 alumni.
In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom.
An electronics store receives a shipment of 30 graphing calculators, including 3 that are defective. Four calculators are selected to be sent.
There are ten raffle tickets, two of which are winners. Find the probability that in a sample of 6 tickets there will be no more than one winning ticket.
Using all 30 runners in each of the following cases, how many different outcomes are possible?