In this episode of Engineer In Training Exam TV, Justin walks you through a Fundamentals of Engineering Exam Review of Counting Principle.

He will begin by defining the Counting Principle and then run through an example in how we can use the counting principle in the probability and statistics portion of the exam.

This Fundamentals of Engineering Exam Review of Counting Principle is part of the global subject Probability and Statistics.

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Hey what’s going on everyone, it’s Justin Dickmeyer from EngineerInTrainingExam.com.

In today’s video we are going to present a Fundamentals of Engineering Exam Review of Counting Principle.

We’ll start off this tutorial discussing the theory and then get in to working a problem.

So let’s start off our Fundamentals of Engineering Exam Review of Counting Principle by defining exactly what Law of Sines is.

The Counting Principle will allow us to

count the number of ways a task can

occur given a series of events so

basically you are multiplying the number

of possibilities

each event within a task can occur so

let’s say suppose that you have a task

say task a and let’s say task a has K a

sequence of K choices and let’s say that

n1 is the number of ways the first stage

or event can occur and n 2 is the number

of ways the second stage or event can

occur following the first stage and

continue on continuing on let’s say n K

is the number of ways the K the stage or

event can occur after the first K minus

1 events or stages have occurred so the

total number of different ways that this

certain task a can occur is simply n 1

multiplied by n 2 multiplied by all your

stages multiplied by n K so whatever

this equals is the total number of

possibilities of task a

so let’s illustrate this using a quick

example so let’s say that we walk up to

a restaurant and we see that they have a

special that includes a sandwich a soup

a dessert and a drink so we we can have

a sandwich which comes also with a soup

we get a dessert and we can get a drink

so let’s say that we walk up to the

counter and we can we first choose our

sandwich so that’s the first stage and

we can choose from a chicken turkey tuna

or roast beef sandwich after this we can

choose our soup which can be tomato clam

chowder or vegetable after we choose our

soup we can choose our dessert which can

be say ice cream or pie and finally we

write before we sit down we can choose

our drink which is tea coffee soda diet

soda or milk so the questionnaire here

is how many possible specials

so how many ways or how many possible

specials are there so there’s four

stages and one and two and three and

four so the total possible ways is going

to be N 1 times n 2 times n 3 times n 4

so let’s define each stage in their

possibilities so let’s say a stage 1 we

have we can choose our sandwich and like

I said we can choose from a chicken

turkey tuna or roast beef so there’s

four possibilities as stage 1 when we go

and choose our soup we can choose from

tomato clam chowder or vegetable so

that’s three possibilities at stage two

at stage three we can choose from ice

cream or pie so that’s two possibilities

and finally we can choose our drink at

stage 4 which is tea coffee soda diet

soda or milk which is five possibilities

so determine to do to determine the

number of possible specials we multiply

n 1 times n 2 times n 3 times n 4 which

is simply 4 times 3 times 2 times 5 and

that equals 120 so the number of

possible specials given are given the

number of stages and given the

circumstances that we’ve defined there’s

120 possible specials that can be chosen

so that’s it in a nutshell it’s it’s not

really all that difficult all we do is

define our task we define the stages

within our task and then we define the

number of possibilities for each stage

within that task and then we finally to

finish it off we just multiply the

number of possibilities for each stage

to get our overall possibilities for the

entire task so that’s it I hope this

shined a little light and helped you

guys refresh a little bit on the

counting principle if you guys need any

further direction or guidance for the

engineering training exam don’t hesitate

to visit my site at engineer in

trainings am calm and I’ll be happy to

help you guys and guide you as best that

I can so that’s it for now take care and

and be good bye

—

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