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Greetings, maths fans.
For anyone else, 10! = 10 factorial = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 2 x 1 which is how many seconds there are in six weeks, and that is how long it is to Chelters.
https://www.thejockeyclub.co.uk/cheltenham
Yes, I know, WFM.
For anyone else, 10! = 10 factorial = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 2 x 1 which is how many seconds there are in six weeks, and that is how long it is to Chelters.
https://www.thejockeyclub.co.uk/cheltenham
Yes, I know, WFM.
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https://www.youtube.com/watch?v=wz6A4Q_WIYo
verifies that 10! = 3,628,800 sec = 6 weeks but doesn’t explain why specifically 10! equals this and not say 20! |
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Might be clearer to take the second half of the video and cancel out terms between the two sums.
10! seconds = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 6 weeks in seconds = 6 x 7 x 24 x 60 x 60 And now, far too late, I've just seen the typo in the OP: missing 3 in the factorial. |
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How many until tomorrow ?
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How long until tomorrow is a question that bedevils anyone who has been responsible for scheduling jobs, because while we can safely talk about events being weeks or months away, when it gets closer, we need to ask about the exact time today and the exact time tomorrow.
For instance, there are 331 days to Christmas Day. On Christmas Eve, there will be one day to Christmas Day. But hold on, at five seconds to midnight on Christmas Eve, there are only five seconds to Christmas Day (or is it six seconds?) so it would be silly to say it is a day away. And maybe it is not the day itself but your dental appointment tomorrow, so at 5 seconds to midnight, it is still hours away. It is far from an exact science! |
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Bonus points: when does 10! seconds not equal six weeks? When BST starts or ends in that period.
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I guess what i am saying is.. is there a relationship between the 10 in 10! and the 6 in 6 weeks.
Is there an equation rather than just saying two sums give the same answer. |
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Is there another factorial that equates to a different number of weeks and how do we derive others
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Is there a prize on offer for this like the Nobel Prize for Mathematics?
I might have a look if so. |
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Download this new Chinese AI machine and ask it.
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Basically, 10! = 6 weeks is as near as damn it a coincidence but from here on up it is trivially true:-
11! = 11 x 10! = 11 x 6 weeks. 12! = 12 x 11 x 10! = 12 x 11 x 6 weeks. etc. |
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Yeah i did think to say not including multiples of 6 weeks. So it is an equivalence rather than a relationship as you say.
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