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mathmath333

  • one year ago

What the does this statement means

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} & \normalsize \text{ If there are three things to do.}\ \hspace{.33em}\\~\\ & \normalsize \text{ M ways of doing first thing.} \hspace{.33em}\\~\\ & \normalsize \text{ N ways of doing second thing.}\ \hspace{.33em}\\~\\ & \normalsize \text{ P ways of doing third thing.}\ \hspace{.33em}\\~\\ & \normalsize \text{When the pieces of work are mutually exclusive ,there are }\hspace{.33em}\\~\\ & M+N+P\ \normalsize \text{ways of doing the complete work. }\hspace{.33em}\\~\\ \end{align}}\)

  2. ganeshie8
    • one year ago
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    suppose you have M blue shirts, N white shirts P black shirts

  3. mathmath333
    • one year ago
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    ok

  4. ganeshie8
    • one year ago
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    how many ways can you go out to a movie with your girlfriend ?

  5. mathmath333
    • one year ago
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    3 ways

  6. mathmath333
    • one year ago
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    *i m a monk by the way

  7. ganeshie8
    • one year ago
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    Ahh wait, lets also assume that all shirts are different

  8. ganeshie8
    • one year ago
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    the M blue shirts are different they are not uniforms, your girlfriend can tell the difference..

  9. mathmath333
    • one year ago
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    ok like M blue shirts of different sizes ?

  10. ganeshie8
    • one year ago
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    yes, different size/shades etc... consider they are different

  11. mathmath333
    • one year ago
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    m*n*p

  12. ganeshie8
    • one year ago
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    nope, let me ask u a q how many total shirts do you have ?

  13. mathmath333
    • one year ago
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    m*blue+n*white+p*black

  14. ganeshie8
    • one year ago
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    right, so you can pick any "one shirt" from the available "m+n+p" shirts

  15. ganeshie8
    • one year ago
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    you just have "m+n+p" choices because you can't wear more than one shirt at the same time

  16. ganeshie8
    • one year ago
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    lets do another example maybe

  17. mathmath333
    • one year ago
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    what is mutually exclusive

  18. ganeshie8
    • one year ago
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    "mutually exclusive" is same as "any two things cannot happen at the same time"

  19. mathmath333
    • one year ago
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    ok

  20. ganeshie8
    • one year ago
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    read this quick and let me know once ur done https://www.mathsisfun.com/data/probability-events-mutually-exclusive.html

  21. mathmath333
    • one year ago
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    okk done

  22. ganeshie8
    • one year ago
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    you went to a restaurant for breakfast and saw the menu

  23. ganeshie8
    • one year ago
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    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 ?

  24. mathmath333
    • one year ago
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    8

  25. ganeshie8
    • one year ago
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    Correct. so you can see the difference, when to multiply and when to add

  26. ganeshie8
    • one year ago
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    lets do one more example

  27. ganeshie8
    • one year ago
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    you also have coffee/tea during breakfast so, here comes the question :

  28. ganeshie8
    • one year ago
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    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 ?

  29. mathmath333
    • one year ago
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    64 ?

  30. ganeshie8
    • one year ago
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    how ?

  31. ganeshie8
    • one year ago
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    64 is correct, just see if u can explain how

  32. mathmath333
    • one year ago
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    3*6+3*2+5*6+5*2=64

  33. ganeshie8
    • one year ago
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    that is one way

  34. ganeshie8
    • one year ago
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    ``` 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 ```

  35. ganeshie8
    • one year ago
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    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

  36. mathmath333
    • one year ago
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    ok

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