- mathmath333

What the does this statement means

- jamiebookeater

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- mathmath333

\(\large \color{black}{\begin{align}
& \normalsize \text{ If there are three things to do.}\ \hspace{.33em}\\~\\
& \normalsize \text{ M ways of doing first thing.} \hspace{.33em}\\~\\
& \normalsize \text{ N ways of doing second thing.}\ \hspace{.33em}\\~\\
& \normalsize \text{ P ways of doing third thing.}\ \hspace{.33em}\\~\\
& \normalsize \text{When the pieces of work are mutually exclusive ,there are }\hspace{.33em}\\~\\
& M+N+P\ \normalsize \text{ways of doing the complete work. }\hspace{.33em}\\~\\
\end{align}}\)

- ganeshie8

suppose you have
M blue shirts,
N white shirts
P black shirts

- mathmath333

ok

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## More answers

- ganeshie8

how many ways can you go out to a movie with your girlfriend ?

- mathmath333

3 ways

- mathmath333

*i m a monk by the way

- ganeshie8

Ahh wait, lets also assume that all shirts are different

- ganeshie8

the M blue shirts are different
they are not uniforms, your girlfriend can tell the difference..

- mathmath333

ok like M blue shirts of different sizes ?

- ganeshie8

yes, different size/shades etc... consider they are different

- mathmath333

m*n*p

- ganeshie8

nope, let me ask u a q
how many total shirts do you have ?

- mathmath333

m*blue+n*white+p*black

- ganeshie8

right, so you can pick any "one shirt" from the available "m+n+p" shirts

- ganeshie8

you just have "m+n+p" choices because you can't wear more than one shirt at the same time

- ganeshie8

lets do another example maybe

- mathmath333

what is mutually exclusive

- ganeshie8

"mutually exclusive" is same as "any two things cannot happen at the same time"

- mathmath333

ok

- ganeshie8

read this quick and let me know once ur done
https://www.mathsisfun.com/data/probability-events-mutually-exclusive.html

- mathmath333

okk done

- ganeshie8

you went to a restaurant for breakfast and saw the menu

- ganeshie8

it shows :
3 different types of north indian items
5 different types of south indian items
how many choices do you have for ordering "one" item for breakfast ?

- mathmath333

8

- ganeshie8

Correct. so you can see the difference, when to multiply and when to add

- ganeshie8

lets do one more example

- ganeshie8

you also have coffee/tea during breakfast so, here comes the question :

- ganeshie8

you went to a restaurant for breakfast and saw the menu :
breakfast items :
3 different types of north indian items
5 different types of south indian items
hot drinks :
6 different types for coffee
2 different types for tea
you want to order "one" breakfast item and "one" hot drink, how many ways can you order them ?

- mathmath333

64 ?

- ganeshie8

how ?

- ganeshie8

64 is correct, just see if u can explain how

- mathmath333

3*6+3*2+5*6+5*2=64

- ganeshie8

that is one way

- ganeshie8

```
breakfast items :
3 different types of north indian items
5 different types of south indian items
hot drinks :
6 different types for coffee
2 different types for tea
```

- ganeshie8

total choices for breakfast = 3+5 = 8
total choices for hot drinks = 6+2 = 8
since for each breakfast item that you pick, there are again 8 more choices for hot drink, the total number of ways that you can have breakfast AND hot drink is 8*8 = 64

- mathmath333

ok

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