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Gg

  • 5 years ago

Find a sum of all numbers made by permutation of 1,2,3,4,5 and 6.

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  1. anonymous
    • 5 years ago
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    I'll give you a clue: What you DON'T want to do is find all the permutations, write them down, then sum them.

  2. GG
    • 5 years ago
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    hey, there are 6! of six-digit numbers ( 720 numbers ). The point is not to find a sum, but to find an easy way to find that sum.

  3. anonymous
    • 5 years ago
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    That's what I was getting at (i.e. look for an easy way, do not do it). So you know there are 720 permutations - that's a good start. What can you say about the number that have "1" in the first position? What about "2"? What about the numbers in the next position? Think along those lines.

  4. GG
    • 5 years ago
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    5!

  5. anonymous
    • 5 years ago
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    also, what does a '1', '3' etc in the first position mean (as opposed to, in the last)

  6. GG
    • 5 years ago
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    5! of all those numbers - 6*5!

  7. anonymous
    • 5 years ago
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    The answer is not going to be 5!. 5! is 120, which is a lot less than any permutation of of 123456 (assuming I understand the question right)

  8. anonymous
    • 5 years ago
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    Sorry, I misunderstood you.

  9. GG
    • 5 years ago
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    :)

  10. anonymous
    • 5 years ago
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    Yes, 5! have each number is each position.

  11. GG
    • 5 years ago
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    do u know how to do this ? I did something. i would like to write answer and u will have just to tell me if it's good. ok?

  12. anonymous
    • 5 years ago
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    I do not know the answer, but I know how to work it out. I'll work it out now if you want

  13. GG
    • 5 years ago
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    Yes, I want :) Thank u :)

  14. anonymous
    • 5 years ago
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    Newton, I wrote a reply to your post under my previous post. Check it once you are done with this. And yes, I mean every word I say therem and you should carefuly rethink your life and actions, and PRIDE.

  15. GG
    • 5 years ago
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    I did i on this way: 5!(100000 + (2+3+4+5+6)*10000 + (2+3+4+5+6)*1000 + (2+3+4+5+6)*100 + (2+3+4+5+6)*10 + (2+3+4+5+6)) + 5!(200000 + (1+3+4+5+6)*10000 + (1+3+4+5+6)*1000 + (1+3+4+5+6)*100 + (1+3+4+5+6)*10 + (1+3+4+5+6)) + 5!(300000 + (1+2+4+5+6)*10000 + (1+2+4+5+6)*1000 + (1+2+4+5+6)*100 + (1+2+4+5+6)*10 + (1+2+4+5+6)) + 5!(400000 + (1+2+3+5+6)*10000 + (1+2+3+5+6)*1000 + (1+2+3+5+6)*100 + (1+2+3+5+6)*10 + (1+2+3+5+6)) + 5!(500000 + (1+2+3+4+6)*10000 + (1+2+3+4+6)*1000 + (1+2+3+4+6)*100 + (1+2+3+4+6)*10 + (1+2+3+4+6)) + 5!(600000 + (1+2+3+4+5)*10000 + (1+2+3+4+5)*1000 + (1+2+3+4+5)*100 + (1+2+3+4+5)*10 + (1+2+3+4+5))

  16. anonymous
    • 5 years ago
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    Erm, do you know what that comes out to in total? I did pretty much the same, but did it all in one go, rather than splitting the 100000s etc form the rest

  17. anonymous
    • 5 years ago
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    1+2+3+4+5+6 = 21 Sum = 21 * 120 + 210 + 120 + 2100 * 120 ...... + ..... + 2100000 * 120 = 120 * 21 * 111111 = ....

  18. anonymous
    • 5 years ago
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    sorry, the second line has a typo: it should be 21 * 120 + 21 * 10 * 120 + 21 * 100 * 120 .... + ..... + 21 * 100000 + 120

  19. anonymous
    • 5 years ago
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    The last + should be * , too ¬_¬ Sorry, I'm tired.

  20. GG
    • 5 years ago
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    Thank u. I need more time to think about this :)

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