## Problem Solving Strategies: Make an Organized List

Making an organized list is often the best way to solve many problems. Try it with the following problems.

## 1. A B C D

The letters ABCD can be put into different order: DCBA or BADC. How many different combinations of the letters ABCD can be made. Make a list to show your answer.

## 2. Change using a dime.

How many ways can you receive change for a quarter if at least one coin is a dime?

List the possibilities. Start with the ways that use the fewest

number of coins. Neatly show your work.

List the possibilities. Start with the ways that use the fewest

number of coins. Neatly show your work.

## 3. Dominoes

The game of dominoes is played with black and white tiles. Each tile is divided into two halves and on each half a number from 0-6 is represented in the form of dots. Each tile contains a pair of numbers and each pair appears only once in a complete set. How many tiles are there in a complete set of tiles? The solution to this problem can take the form of a tree diagram. Make an organized list to show how you found your answer.

## 4. Who finished first?

Mary and Sue are good friends. When Mary got the flu, her doctor wrote a prescription for twenty 30mg pills, and told her to take two a day, one after breakfast and one after dinner. Three days later, Sue also got the flu. Her doctor prescribed thirty 20mg pills, and told her to take a pill every four hours between 9:00 and 21:00. Whose medicine was finished first? Make an organized list to show your work

## 5Class Pres & VP Possibilies?

Jack, Trisha, Sam, Marie, Daniel, and Mickey are running for Class President and

Vice-President of Pine Town University. How many different pairs can win the election?

Make an organized list to show your work.

Vice-President of Pine Town University. How many different pairs can win the election?

Make an organized list to show your work.