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mathmath333

  • one year ago

A dice is rolled six times. One, two, three, four, five and six appears on consecutive throws of dices. How many ways are possible having 1 before 6?

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} & \normalsize \text{ A dice is rolled six times. }\hspace{.33em}\\~\\ & \normalsize \text{ One, two, three, four, five and six appears on consecutive throws of dices.}\hspace{.33em}\\~\\ & \normalsize \text{ How many ways are possible having 1 before 6?}\hspace{.33em}\\~\\ \end{align}}\)

  2. welshfella
    • one year ago
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    if 1 occurs on the first throw ether are 5! ways . Agreed? I'm never 100% confident on these counting questions!!

  3. mathmath333
    • one year ago
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    ok

  4. welshfella
    • one year ago
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    so I guess we have to consider the scenario when occurs on the second throw. when 6 occurs on the first throw we have to discount these arrangements

  5. welshfella
    • one year ago
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    * when 1 occurs

  6. welshfella
    • one year ago
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    so that is -4!

  7. mathmath333
    • one year ago
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    negative 4! ?

  8. welshfella
    • one year ago
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    No sorry - we just ignore those

  9. welshfella
    • one year ago
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    if no 6 on first throw there are 4 * 4! ways right?

  10. mathmath333
    • one year ago
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    how does that come

  11. imqwerty
    • one year ago
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    is the answer (5!)^2 ?

  12. welshfella
    • one year ago
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    well you have any number between 2 and 5 on first throw and there are 4! arrangements of the other 4

  13. mathmath333
    • one year ago
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    |dw:1442759227308:dw|

  14. mathmath333
    • one year ago
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    in book it is given as 6!/2=360

  15. imqwerty
    • one year ago
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    sry i did a silly mistake well- |dw:1442759335031:dw| like this make cases nd then u get tota ways= 5!+4*4!+3*4!+2*4!+1*4!=360

  16. mathmath333
    • one year ago
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    A hint is given: out of total 6! half would have 1 before 6

  17. welshfella
    • one year ago
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    if 1 is middle number there are 72 ways also if 72 for 2 is 4th so we have 120 + 96 + 72 + 72 = 360

  18. mathmath333
    • one year ago
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    |dw:1442759844597:dw|

  19. imqwerty
    • one year ago
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    a typo :) there must be some erase tool :)

  20. imqwerty
    • one year ago
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    nd yes cx outta those 6! ways half wuld hav 1 before 6 i never thought that

  21. mathmath333
    • one year ago
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    i m unable to digest the hint

  22. imqwerty
    • one year ago
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    ok tell- in how many ways can u arrange 6balls in a line?

  23. mathmath333
    • one year ago
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    6!

  24. imqwerty
    • one year ago
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    and how many of these ways will have ball number 1 before ball 6

  25. mathmath333
    • one year ago
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    half

  26. imqwerty
    • one year ago
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    can u relate this situation with the situation we have int he problem :)

  27. mathmath333
    • one year ago
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    u replaced ball with dice

  28. imqwerty
    • one year ago
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    yes :) did u get the hint now

  29. mathmath333
    • one year ago
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    |dw:1442760669616:dw|

  30. mathmath333
    • one year ago
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    ur pic matches with the above lol

  31. imqwerty
    • one year ago
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    :)

  32. imqwerty
    • one year ago
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    m soon gonna change it wid an owl pic :)

  33. imqwerty
    • one year ago
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    wait hey that is blank nd my pic is not blank :)

  34. Nnesha
    • one year ago
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    right click on the screenshot *open image in new tab* then copy paste that url into draw (mathmath333)

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