fundamental rule of counting

Choosing coffee or tea; with cream, milk, or honey; served in a glass or plastic cup Using the fundamental rule of counting: 2 drink types * 3 sweetness * 2 cups = 12 possible choices

A restaurant offers the following options: Starter – soup or salad Main – chicken, fish or vegetarian Dessert – ice cream or cake How many possible different combinations of starter, main and dessert are there? Using the fundamental rule of counting, we have: 2 starters * 3 main courses * 2...

7 salads, 10 main dish, 6 dessert Using the Fundamental Rule of Counting, we have: 7 * 10 * 6 = 420 possible meals

License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed We have 26 letters A-Z and 10 possible digits 0-9. Using the fundamental rule of counting, we have: 26 * 26 * 26 * 10 * 10 = 1,757,600 possible choices

Lisa has 5 skirts, 10 blouses, and 4 jackets. How many 3-piece outfits can she put together assuming any piece goes with any other? Using the fundamental rule of counting, we have: 5 * 10 * 4 = 200 different 3-piece outfits

How many license plates can be made consisting of 3 letters followed by 2 digits There are 26 letters A-Z and 10 digits 0-9. We have: 26 * 26 * 26 * 10 * 10 = 1,757,600 license plates

License plate that is made up of 4 letters followed by 2 numbers Using the fundamental rule of counting, we have: 26 possible letters * 26 possible letters * 26 possible letters * 26 possible letters * 10 possible numbers * 10 possible numbers = 45,697,600 license plate combinations

Suppose you secured your phone using a passcode. Later, you realized that you forgot the 6-digit code. You only remembered that the code contains the digits 1, 2,3, 4,5 and 6. How many possible codes can there be? 6 possible digits, 1-6 and the code is 6-digits long. So we have: 6 * 6 * 6 * 6 *...

A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0-9. Numbers may be repeated in the pass code. How many different pass codes exist? 0-9 is 10 digits. Since digits can repeat, we use the fundamental rule of counting to get: 10 * 10 * 10...

if joey has 5 swimsuits, 3 bicycles, and 4 pairs of running shoes, how many ways are there for joey to choose Using the Fundamental Rule of Counting, we have: 5 swimsuits * 3 bicycles * 4 pairs of running shoes = 60 possible choices

A combination lock open with the correct 4 letter code. Each wheel roared through letters A-L. How many different 4 letter codes are possible A-L = 12 letters Possible combinations is found by: 12 * 12 * 12 * 12 = 20,736 combinations

A three digit number, if the digits are unique For our first digit, we can start with anything but 0. So we have 9 options For our second digit, we can use anything but 9 since we want to be unique. So we have 9 options For our last digit, we can use anything but the first and second digit. So...

a license plate has 3 letters followed by 4 numbers There are 26 letters A-Z and 10 numbers 0-9. So we have: 26 * 26 * 26 * 10 * 10 * 10 * 10 175,760,000 different license plate combinations

5 shirts. 3 pants and 8 shoes how many outfits can you wear Using the fundamental rule of counting, we can have: 5 shirts * 3 pants * 8 shoes = 120 different outfits

Derek must choose a 4 digit PIN. Each Digit can be chosen from 0 to 9. Derek does not want to reuse any digits. He also only wants an even number that begins with 5. How many possible PINS could he choose from? First digit must begin with 5. So we have 1 choice We subtract 1 possible digit...

if you own 5 pants, 8 shirts, and 3 jackets how many outfits can you make wearing 1 of each item? Using the Fundamental Rule of counting, we have: Total Pants * Total Shirts * Total Jackets 5 * 8 * 3 120

camille has 7 blouses,2 skirts,3 pair of short pants and 5 pair of jeans.how many different outfits can he wear,assuming that he always wear a belt. Using the fundamental rule of counting, we find total amount of different outfits as follows: 7 blouses * 2 skirts * 3 pair of short pants * 5...

A restaurant offers 20 appetizers and 40 main courses, how many ways can a person order a two course meal? Using the fundamental rule of counting, we can have: 20 appetizers * 40 main courses = 800 possible two-course meals

3 salads, 4 main dishes, and 2 desserts Total meal combinations are found by multiplying each salad, main dish, and dessert using the fundamental rule of counting. The fundamental rule of counting states, if there are a ways of doing one thing, b ways of doing another thing, and c ways of...

License plates are made using 3 letters followed by 3 digits. How many plates can be made of repetition of letters and digits is allowed We have 26 letters in the alphabet We have 10 digits [0-9] The problem asks for the following license plate scenario of Letters (L) and Digits (D) LLLDDD...