A Nice Olympiad Factorial Problem

Sdílet
Vložit
  • čas přidán 6. 06. 2024
  • A Nice Olympiad Factorial Problem #maths #math #mathematics #mathproblems #mathstricks #education

Komentáře • 15

  • @jenine9223
    @jenine9223 Před měsícem +3

    I’m confused about the ! being outside of the radical in the numerator but inside in the denominator. It would be better to have parenthesis around the radical 9, before the ! . That way you know to take the square root of nine, then do the factorial.

  • @lucascaldasdecarvalhoferre5757

    6/(120)^1/2 => 6/2(30)^1/2 = 3/(30)^1/2 ~= 3/5,447

  • @JJ_TheGreat
    @JJ_TheGreat Před měsícem +1

    Answer:
    SQRT(30)/10≈.5477...

  • @antoniobustosharo6830
    @antoniobustosharo6830 Před měsícem

    Creo que la raíz de 9 debería estar entre paréntesis para distinguir factorial de 3 de factorial de 9.
    En el primer caso resultará = 6. y en segundo caso = 12 por. raíz de 21.

  • @dougnettleton5326
    @dougnettleton5326 Před 6 dny

    Way too many steps,
    3!/sqrt(5!) × (sqrt(5!)/sqrt(5!))
    =(3!×sqrt(5!))/5!
    =sqrt(5!)/5×4
    =sqrt (120)/20
    =sqrt(30)/10

  • @guyneljean-francois4150
    @guyneljean-francois4150 Před měsícem +3

    There's a mistake in the simplification of the numerator. √9! is widely different from 3!. so, the outcome is false.

    • @awcampbell2002
      @awcampbell2002 Před měsícem +5

      It appears that the square root was not including the factorial sign. The denominator appeared to include the factorial sign. Since there was a difference in the length of the radical between the two I think it was intentional and so it would be correct.

    • @math77br
      @math77br  Před 29 dny +1

      yes

  • @walterwen2975
    @walterwen2975 Před 5 dny

    A Nice Olympiad Factorial Problem: (√9)!/√(5!) = ?
    (√9)!/√(5!) = 3!/√[(5)(4)(3!)] = (√3!)/√[(5)(4)] = (√6)/(2√5) = (√30)/10

  • @manuelquitevis6794
    @manuelquitevis6794 Před měsícem +1

    9!/5! = 3024

  • @Patrik6920
    @Patrik6920 Před měsícem +2

    this problem is disturbingly bad written .. even if u follow PEMDAS .. very ambigiuous
    is the Problem (√9)!/√(5!), or √(9)!/√(5!), or √(9!)/√(5!), or (√9!)/√(5!)? ...
    √9! = 3! or root of 9! ?
    (√9)! = 3!
    √(9)! =3!
    √(9!) = root of 9! or 9!=72√70
    (√9!) Root of 3! or 9!=72√70 ?
    ..unless giving sevral different soultions seems hard to solve...
    √ is exponentiaton, ! (factorial) is a function()
    ..can be interprited as square root of a funtion of(9) OR a function() of squareroot of 9
    ..here PEMDAS fails miserbly...

  • @zzzaphod8507
    @zzzaphod8507 Před měsícem

    Well done, but not the most interesting problem

  • @Birol731
    @Birol731 Před 26 dny

    √9!/√(5!)
    = 3!/√120
    = 6/√2³*3*5
    = 6/2√30
    = 3/√30
    = 3√30/30
    = √30/10

  • @johnspathonis1078
    @johnspathonis1078 Před měsícem

    Sorry thumbs down due to poor layout of problem.