Blog 4 - Fundamental Principle of Counting

Hello class, my name is professor Bradley; today I will be teaching you about Fundamental Principle of Counting. Fundamental Principle of Counting can be used anywhere, it just depends on how it's used. But before we go into learning about some of its real-world applications, we need to first understand what Fundamental Principle of Counting is.


Fundamental Principle of Counting is a way to figure out the total number of ways different events can occur.

Fundamental Principle of Counting:
Event M: m ways
Event N: n ways
m x n ways

Multiplying one event by another can provide all the possible outcomes of that specific event.
                                                                        ( E1 x E2)
Events can also be viewed as combinations, such as ordering fast food, picking out different combinations of clothes, and more.

Example:

There was a boy named little Jimmy, little jimmy was very hot and was desperately craving for ice cream, so he decided to go to Baskin-Robbins. Little jimmy was very overwhelmed with the many different varieties of ice cream that he could choose from, nevertheless he had the choice of what the ice cream came in, cup or cone.

Cup:
Small, Medium, Large

Cone:
Cake cone, Fresh- baked waffle cone, Sugar cone, Classic cone

Ice Cream Flavors:
Oreo Cool Mint Chocolate ice cream
Berry Passion frozen yogurt
Black Walnut ice cream
Cherries Jubilee ice cream
Chocolate Almond ice cream
Chocolate Chip Cookie Dough ice cream
Chocolate Chip ice cream
Chocolate Fudge ice cream
Chocolate ice cream
Creole Cream Cheese ice cream
Daiquiri Ice
Dunkin Donuts Coffee Coffee Chip ice cream
Egg Nog ice cream
Fat-Free Vanilla frozen yogurt
Fudge Brownie ice cream
German Chocolate Cake ice cream
Gold Medal Ribbon ice cream
Icing on the Cake ice cream
Jamoca Almond Fudge ice cream
Jamoca ice cream
Lemon Custard ice cream
Made with Snickers ice cream
Mint Chocolate Chip ice cream
Mom's Makin' Cookies ice cream
New York Cheesecake ice cream
Nutty Coconut ice cream
Old Fashioned Butter Pecan ice cream
OREO Cookies 'n Cream ice cream
OREO Malt Madness ice cream
Peanut Butter 'n Chocolate ice cream
Peppermint ice cream
Pistachio Almond ice cream
Pralines 'n Cream ice cream
Premium Churned Reduced-Fat, No Sugar Added Caramel Turtle Truffle ice cream
Premium Churned Reduced-Fat, No Sugar Added Pineapple Coconut ice cream
Pumpkin Pie ice cream
Quarterback Crunch ice cream
Rainbow Sherbet
Rasberry Sinceri-Tea ice cream
Reese's Peanut Butter Cup ice cream
Rocky Road ice cream
Rum Raisin ice cream
S'More the Merrier ice cream
Strawberry Cheesecake ice cream
Vanilla ice cream
Very Berry Strawberry ice cream
Wild 'n Reckless Sherbet
Winter White Chocolate ice cream
World Class Chocolate ice cream

Little jimmy was curious about how many different combinations there were, so he used the fundamental principle of counting.

3(Cup) x 4(Cone) x 49(Flavors)= 588
Little jimmy has 588 combinations to choose from.

Well that's it for class today, I appreciate your attention and I hoped you have a full understanding of how to use the Fundamental Principle of Counting.