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Brain Teaser
andy_foster
post Sun, 29 Mar 2020 - 14:25
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Using only the mathematical symbols +, -, x, ÷, (, ), √ and ! on the left hand side of the equations below (as many times as necessary), complete the equations.
N.B. ! means 'factorial' - 0!=1, 1!=1, 2!=2x1=2, 3!=3x2x1=6, etc.

0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6
10 10 10 = 6

What is the next line in the sequence?

1
11
21
1211

This post has been edited by andy_foster: Sun, 29 Mar 2020 - 15:12


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"Whatever the intention of Parliament was, or was not, the law is quite clear." - The Rookie
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post Sun, 29 Mar 2020 - 14:25
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The Slithy Tove
post Mon, 30 Mar 2020 - 13:47
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QUOTE (andy_foster @ Mon, 30 Mar 2020 - 14:29) *
if you panic bought too many brackets and need to use them up.

If I panic bought an infinite number of √s, then I can take the square root of any non-zero positive number an infinite number of times, which always gets me to 1. From there, it's easy (1+1+1)! OK, I need 3 lots of infinities of √s, but that's still infinity.

QUOTE (andy_foster @ Mon, 30 Mar 2020 - 14:29) *
Now, can anybody other than Jlc work out the next line of the sequence (the way he initially wrote his answer is a very strong clue)?

1
11
21
1211
111221

312211

I'm sure I've seen this in Only Connect sequences round

This post has been edited by The Slithy Tove: Mon, 30 Mar 2020 - 13:44
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Jlc
post Mon, 30 Mar 2020 - 14:35
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Say what you see...

QUOTE (Mayhem007 @ Mon, 30 Mar 2020 - 13:50) *
...but when written in this format it can be quite confusing for the below average mathematician.Mathematics should convey the information that you wish to show to the majority of people in a simple way

You must of seen those ridiculous FaceBook postings where someone poses a 'complex' mathematical sum using a mix of operators, without parentheses (brackets), and everyone has a different answer...

If only everyone remembers BODMAS!


--------------------
RK=Registered Keeper, OP=Original Poster (You!), CoFP=Conditional Offer of Fixed Penalty, NtK=Notice to Keeper, NtD=Notice to Driver
PoFA=Protection of Freedoms Act, SAC=Safety Awareness Course, NIP=Notice of Intended Prosecution, ADR=Alternative Dispute Resolution
PPC=Private Parking Company, LBCCC=Letter Before County Court Claim, PII=Personally Identifiable Information

Private Parking - remember, they just want your money and will say almost anything to get it.
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andy_foster
post Mon, 30 Mar 2020 - 14:56
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QUOTE (Jlc @ Mon, 30 Mar 2020 - 15:35) *
You must of seen those ridiculous FaceBook postings where someone poses a 'complex' mathematical sum using a mix of operators, without parentheses (brackets), and everyone has a different answer...

If only everyone remembers BODMAS!


Only for genius! 99% will fail. Only genius with IQ is 140+ can wins!

edit: not as bad as the ones which purport to repurpose "+" as some other quasi-mathematical function.

This post has been edited by andy_foster: Mon, 30 Mar 2020 - 14:58


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"Whatever the intention of Parliament was, or was not, the law is quite clear." - The Rookie
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Mayhem007
post Mon, 30 Mar 2020 - 16:07
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Is it
11212211


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andy_foster
post Mon, 30 Mar 2020 - 18:53
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QUOTE (Mayhem007 @ Mon, 30 Mar 2020 - 17:07) *
11212211


No. Try reading Jlc's answer again.
N.B. if you get it, you will won't need to ask if you got it right.


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"Whatever the intention of Parliament was, or was not, the law is quite clear." - The Rookie
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Mortimer
post Mon, 30 Mar 2020 - 20:13
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1
11
21
1211
111221
312211
13112221
1113213211
31131211131221


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Irksome
post Mon, 30 Mar 2020 - 20:46
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Totally depends on which base the questioner has chosen, I have no idea what base is chosen and therfore no answer.
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andy_foster
post Mon, 30 Mar 2020 - 21:06
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QUOTE (Irksome @ Mon, 30 Mar 2020 - 21:46) *
Totally depends on which base the questioner has chosen


No it doesn't.
N.B. by convention any number without a base indicated is base 10.

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I have no idea <snip>



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"Whatever the intention of Parliament was, or was not, the law is quite clear." - The Rookie
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morrisman
post Tue, 31 Mar 2020 - 07:08
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QUOTE (stamfordman @ Sun, 29 Mar 2020 - 15:43) *
First let's have your proof that 0!=1.


https://www.youtube.com/watch?v=Mfk_L4Nx2ZI
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Mayhem007
post Tue, 31 Mar 2020 - 10:46
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QUOTE (morrisman @ Tue, 31 Mar 2020 - 08:08) *
QUOTE (stamfordman @ Sun, 29 Mar 2020 - 15:43) *
First let's have your proof that 0!=1.


https://www.youtube.com/watch?v=Mfk_L4Nx2ZI

Brilliant explanation Morrisman. Thank you. Should get a good nights kip now.


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