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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?
Suppose that you are dealt a hand of 8 cards from a standard deck of 52 playing cards. What is the probability that you are dealt no diamonds and exactly 1 jack
Suppose that an unfair coin comes up tails 53.2% of the time. The coin is flipped a total of 14 times.