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anonymous

  • one year ago

So I need to arrange 4 science books and 3 math books in such manner that science books are together and math books are together laying on top va each other. How many ways I can do this?

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  1. anonymous
    • one year ago
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    Me thinks 4*3*2*1+3*2*1=30

  2. anonymous
    • one year ago
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    Any thoughts?

  3. anonymous
    • one year ago
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    @DaBest21

  4. misssunshinexxoxo
    • one year ago
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    This is a combination. What is 4 times 3?

  5. anonymous
    • one year ago
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    12

  6. misssunshinexxoxo
    • one year ago
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    That is the number of different ways you can change the way they are situated

  7. anonymous
    • one year ago
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    ok

  8. anonymous
    • one year ago
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    wrong

  9. anonymous
    • one year ago
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    boo

  10. anonymous
    • one year ago
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    :(

  11. anonymous
    • one year ago
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    crying face

  12. SolomonZelman
    • one year ago
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    This is what I think. There are 4P4 ways to rearrange the science books, AND there are 3P3 ways to rearrange the math books. And all books have to be on top of each other, would mean either math books on top of science books, or science books on top of math books. that means that all your previous permutations should be multiplied times two.

  13. SolomonZelman
    • one year ago
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    it should end up pretty big (not 12 or 11)

  14. anonymous
    • one year ago
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    4*3*2*1=24 3*2*1=6

  15. anonymous
    • one year ago
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    so 30

  16. anonymous
    • one year ago
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    or 60

  17. anonymous
    • one year ago
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    Ok but answer says 288!!!!!

  18. anonymous
    • one year ago
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    no entiendo por nada!

  19. SolomonZelman
    • one year ago
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    yes, because you multiply the permuations by math books, times the permutations by science books

  20. SolomonZelman
    • one year ago
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    and then multiply by two, because math books can be on top of sceince books or vv

  21. SolomonZelman
    • one year ago
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    \(\left({\rm 4P4}\times {\rm 3P3}\right)\times 2\)

  22. SolomonZelman
    • one year ago
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    for each permutation of math books, there is all permutations of science books, and vice versa. that is why you multiply.

  23. SolomonZelman
    • one year ago
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    and then ×2, because either math books can be on top of science, or the other way around.

  24. anonymous
    • one year ago
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    You rock!

  25. anonymous
    • one year ago
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    I need to be careful who I ask

  26. anonymous
    • one year ago
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    people misinformed all the time

  27. SolomonZelman
    • one year ago
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    Lol, not really....:) thanks tho:)

  28. SolomonZelman
    • one year ago
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    Yeah, sometimes answer is wrong, but you have to do a little analysis if the answer makes sense or not.

  29. SolomonZelman
    • one year ago
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    In this case, for example. How can answer be 11 or 12, if the number of combinations of just the science books alone exceeds that?

  30. anonymous
    • one year ago
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    Yeah. I was nearly running away with 12 which would be a not so correct but intuitive answer.

  31. SolomonZelman
    • one year ago
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    see what I posted about 11 and 12 just now?

  32. anonymous
    • one year ago
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    Yeah. Permutations

  33. SolomonZelman
    • one year ago
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    i will rephrase, there is a typo....

  34. SolomonZelman
    • one year ago
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    combinations should be "permutations"

  35. SolomonZelman
    • one year ago
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    But, in any case, now you know.... check your answer to make sense:)

  36. SolomonZelman
    • one year ago
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    have a good one!

  37. anonymous
    • one year ago
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    Thanks so much! I'll be writing about you

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