a. A teacher creating a quiz has to decide how to order the problems—if there are ten problems, how many different ways can they be ordered? b. How many ways can the problems be ordered if the teacher decides to put the one essay question either first or last? c. If it's decided the test is too long, how many ways could the teacher choose 8 of the problems to create a shorter quiz?

2 ? Select three that apply. Which of the following situations results in an answer of 3 Three cats share 2 cans of tuna. How much of a can does each cat receive? Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all? Three cupcakes are divided among 2 children. How much of a cupcake does each child receive? Two apples are split among 3 people. How much of an apple does each person receive? Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive? Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?

During a special promotion, a customer purchasing a computer and a printer is given a choice of 3 free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? Hint: This is a Combination problem! 120 604,800 360 720

In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice to 3 of the 21 students in her class, one item per student?

Toward the end of a game of Scrabble you hold the letters D,O,G and Q.  You can choose three of these four letters and arrange them in order in how many different ways?

Professor Hermann gives his class 12 potential test questions, he will then put 5 of the 12 questions on the real test. In how many ways can Professor Hermann make up the test?

An ice cream store has 25 flavors to select from. A customer walks in and orders a three​-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important​? b. the flavors are different and the order is not important​?