1. Subscribervenda
    Dave
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    14 Jul '20 11:51
    @bigdoggproblem said

    A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
    Good luck.
    I don't even understand the question!!
    There are no typo's -I've checked it 3 times


    ...[text shortened]... d my answer using Python. For those interested in coding: https://repl.it/repls/FloweryChiefResource
    Congratulations again.
    As with a lot of these things, it's quite straight forward when you see the answer.
    The Boa constrictor snake you used for verification must be a very clever one!!
  2. Standard memberBigDogg
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    14 Jul '20 16:58
    @venda said
    Congratulations again.
    As with a lot of these things, it's quite straight forward when you see the answer.
    The Boa constrictor snake you used for verification must be a very clever one!!
    The program? It's not very clever. It doesn't need to be. A comp can easily brute force the problem.
  3. Subscribervenda
    Dave
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    19 Jul '20 22:12
    This weeks puzzle is mildly entertaining.Sounds a bit like social distancing to me!! :-
    As I was going to St Ives I met a man with seven wives,each wife had seven cats , each cat had seven kits.Kit's Cats,wives , man and I stood in a straight line , each keeping precisely two metres apart(as measured from the centre of one body to the next).
    how long was the line
  4. R
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    19 Jul '20 23:44
    @venda said
    This weeks puzzle is mildly entertaining.Sounds a bit like social distancing to me!! :-
    As I was going to St Ives I met a man with seven wives,each wife had seven cats , each cat had seven kits.Kit's Cats,wives , man and I stood in a straight line , each keeping precisely two metres apart(as measured from the centre of one body to the next).
    how long was the line
    n = 1+1+7+7^2 + 7^3 = 401 Things in a line

    Distance = 2* ( n-1) = 2*( 401 - 1 ) = 800 m
  5. Subscribervenda
    Dave
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    20 Jul '20 10:16
    @joe-shmo said
    n = 1+1+7+7^2 + 7^3 = 401 Things in a line

    Distance = 2* ( n-1) = 2*( 401 - 1 ) = 800 m
    Correct.Too easy really
  6. Subscribervenda
    Dave
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    17 Sep '20 18:29
    The puzzle in last weeks Saturday paper was quite interesting although I didn't know how to do it.(Sorry, I've been busy!!)
    It was an ice cream parlour that offered any combination of 5 flavours of Ice cream on the menu.
    Because of restrictions they then were now only offering any combination of 4 flavours on the menu.
    How many combinations were there on offer now?
    The only other fact you were given was that there were now exactly half of the options available than there was before.
    I've seen the(frankly ridiculous ) answer and I know the combinations formula but I can't work out how to set about it when the N! is an unknown
  7. Standard memberBigDogg
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    17 Sep '20 18:48
    @venda said
    The puzzle in last weeks Saturday paper was quite interesting although I didn't know how to do it.(Sorry, I've been busy!!)
    It was an ice cream parlour that offered any combination of 5 flavours of Ice cream on the menu.
    Because of restrictions they then were now only offering any combination of 4 flavours on the menu.
    How many combinations were there on offer now?
    T ...[text shortened]... d I know the combinations formula but I can't work out how to set about it when the N! is an unknown
    Are there any restrictions on the number of scoops per combination?
  8. Subscribervenda
    Dave
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    17 Sep '20 19:01
    @bigdoggproblem said
    Are there any restrictions on the number of scoops per combination?
    Sorry, I think I missed a bit.
    The combination of flavours offered was a combination of any 5 and 4 from "x" number of flavours.
    The problem therefore is finding when any 5 out of x is double any 4 out of x where x is the number of flavours on the menu.
  9. Standard memberwolfgang59
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    17 Sep '20 20:13
    @venda said
    Sorry, I think I missed a bit.
    The combination of flavours offered was a combination of any 5 and 4 from "x" number of flavours.
    The problem therefore is finding when any 5 out of x is double any 4 out of x where x is the number of flavours on the menu.
    10 flavours.
  10. Subscribervenda
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    18 Sep '20 10:22
    @wolfgang59
    Incorrect
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    18 Sep '20 11:29
    @venda

    Hi Venda

    I think N=14, which would give 2002 ways of choosing 5 flavours and 1001 of choosing 4?
  12. Subscribervenda
    Dave
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    18 Sep '20 11:37
    @blood-on-the-tracks said
    @venda

    Hi Venda

    I think N=14, which would give 2002 ways of choosing 5 flavours and 1001 of choosing 4?
    Correct
    Well done.
    Do you have a formula for finding the solution?
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    18 Sep '20 12:01
    @venda

    Well, the ways of picking r things from N is given by N!/(N-r)!r!

    So I had N!/(N-5)!5! for the 5 scoops and N!/(N-4)!4! for 4

    So N!/(N-5)!5! = 2 x N!/(N-4)!4!

    Your N! cancels out, turn 'both sides' upside down and you get

    (N-5)! x 5! = (N-4)! x 4! all over 2

    5!/4! =5 and (N-4)!/(N-5)! = (N-4), so applying that to cancelling we get

    5 = (N-4)/2

    10 = N-4, N=14, then apply the combinations rule from earlier to get 1001 and 2002

    Phew!
  14. Subscribervenda
    Dave
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    18 Sep '20 12:35
    @blood-on-the-tracks said
    @venda

    Well, the ways of picking r things from N is given by N!/(N-r)!r!

    So I had N!/(N-5)!5! for the 5 scoops and N!/(N-4)!4! for 4

    So N!/(N-5)!5! = 2 x N!/(N-4)!4!

    Your N! cancels out, turn 'both sides' upside down and you get

    (N-5)! x 5! = (N-4)! x 4! all over 2

    5!/4! =5 and (N-4)!/(N-5)! = (N-4), so applying that to cancelling we get

    5 = ...[text shortened]... -4)/2

    10 = N-4, N=14, then apply the combinations rule from earlier to get 1001 and 2002

    Phew!
    Thanks for that.
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    18 Sep '20 12:45
    @venda
    No problem. Have missed your weekly 'puzzle', though you did say the quality dwindled!
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