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Shadowys

Here's another fun one! Fifteen students are distributed to three classes. Anong them, three of them are special students. What are the probability that each class has only one special student?

  • one year ago
  • one year ago

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  1. Algebraic!
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    \[\frac{ (potato-1)! }{ potato!(potato-2)! }\]

    • one year ago
  2. Shadowys
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    Potatoes!! lol

    • one year ago
  3. sauravshakya
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    3! * 3^12

    • one year ago
  4. Shadowys
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    Isn't that larger than 1?

    • one year ago
  5. sauravshakya
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    Oh sorry that was number of ways it can be done.

    • one year ago
  6. sauravshakya
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    (3! * 3^12)/3^15

    • one year ago
  7. Shadowys
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    The students can only be shuffled within their respective classrooms though...

    • one year ago
  8. sauravshakya
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    And that means?

    • one year ago
  9. Shadowys
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    that means that once a special occupies a classroom, the other students might lose that chance to go into that classroom for the the probability that one student goes into one classroom.

    • one year ago
  10. sauravshakya
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    What was wrong with the answer I gave?

    • one year ago
  11. Shadowys
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    your students were given three choices no matter the permutations of the three specials. however, in the case of two specials occupying two classrooms, they would only have one choice instead.

    • one year ago
  12. sauravshakya
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    First special student have 3 choices Second special student have 2 choices Third special student have one choices. And the rest students will have 3 choices.

    • one year ago
  13. Shadowys
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    yes. But in the case of 1-1-13 classroom arrangement, where the first two classes will have the two specials, the 12 students don't have this choice of entering the classroom.

    • one year ago
  14. sauravshakya
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    @Shadowys can u PLZ explain the question once again.

    • one year ago
  15. Shadowys
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    sorry~ ehheh Fifteen students, three among them are special. are distributed to three classes, and each class must contain only one special student, there is no limit on the number of students in the class except that all students must go into a class. What is the probability?

    • one year ago
  16. sauravshakya
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    Then, what is wrong with 3!*3^12/3^15

    • one year ago
  17. Shadowys
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    the students can be reshuffled in the classes without changing the class. Frankly saying, I got your answer when I first did it before I tried simplifying the question and testing it again. Hmm~I'll check with teacher again. It might be that he's wrong~

    • one year ago
  18. sauravshakya
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    @satellite73 PLZ check this.

    • one year ago
  19. satellite73
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    i don't understand the question

    • one year ago
  20. Shadowys
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    Oh my. Is it that vague?

    • one year ago
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