Question

What the does this statement means

Answer 1

\(\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}}\)

Answer 2

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

Answer 3

ok

Answer 4

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

Answer 5

3 ways

Answer 6

*i m a monk by the way

Answer 7

Ahh wait, lets also assume that all shirts are different

Answer 8

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

Answer 9

ok like M blue shirts of different sizes ?

Answer 10

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

Answer 11

m*n*p

Answer 12

nope, let me ask u a q

how many total shirts do you have ?

Answer 13

m*blue+n*white+p*black

Answer 14

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

Answer 15

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

Answer 16

lets do another example maybe

Answer 17

what is mutually exclusive

Answer 18

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

Answer 19

ok

Answer 20

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

Answer 21

okk done

Answer 22

you went to a restaurant for breakfast and saw the menu

Answer 23

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 ?

Answer 24

8

Answer 25

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

Answer 26

lets do one more example

Answer 27

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

Answer 28

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 ?

Answer 29

64 ?

Answer 30

how ?

Answer 31

64 is correct, just see if u can explain how

Answer 32

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

Answer 33

that is one way

Answer 34

```
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
```

Answer 35

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

Answer 36

ok