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Logic Level 1

2 0 1 = 6 \huge \color{#D61F06}{2} \ \ \ \color{#3D99F6}{0} \ \ \ \color{#20A900}{1} \ \ \ = \ \ \color{magenta}{6}

Is it possible to make the equation true by inserting the appropriate operations? Any operations and functions can be used.

Nothing is impossible in 2016! Impossible

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25 solutions

Anish Harsha
Dec 31, 2015

My solution :

( 2 + 0 + 1 ) ! = 6 \huge ( 2 \ + \ 0 \ + \ 1 ) \ ! \ = \ 6

Excellent solution!

David Fay - 5 years, 5 months ago

Same Here .. Factorial is indeed my Favorite ..

Jhoemar Mendiogarin - 5 years, 5 months ago

Same equation

Charlie Nelmes - 5 years ago

Can you help me understand what the ! is? Is it just a made up number which means you will always be right if so i should of used this in my exams ;) but seriously what does the ! mean?

Bob Berqulski - 5 years, 5 months ago

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It is factorial.We define n ! = n ( n 1 ) ( n 2 ) 3 × 2 × 1 n!=n(n-1)(n-2)\ldots3\times2\times1 .For example: ( 2 + 0 + 1 ) ! = 3 ! = 3 × 2 × 1 = 6 (2+0+1)!=3!=3\times2\times1=6 .

Rohit Udaiwal - 5 years, 5 months ago

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Ok, thanks for clearing that up :) i think i get it now

Bob Berqulski - 5 years, 5 months ago

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@Bob Berqulski No problem :)

Rohit Udaiwal - 5 years, 5 months ago

It's stands for Factorial. If the problem is 3! then you would countdown from 3 to 1 and multiply them all together. Ex: 3!= 3x2x1 which equals 6. If the problem was 10! then the answer would be 10x9x8x7x6x5x4x3x2x1...

Jonathan Cevallos - 5 years ago

its a factorial (!)..suppose if we want n!..then n!=n×n-1×n-2×......2×1

manoj gilly - 5 years, 4 months ago

2+0+1= 3

Then 3! Means 3x2x1 which equals 6

Charlie Nelmes - 5 years ago

Some thing are impossible, traveling farther than the edge of the universe is impossible unless your the flash.

Zlaty Markov - 5 years, 1 month ago
Rishabh Jain
Dec 31, 2015

\color{skyblue}{⇩} \\ ( 2 + 0 ! ) ! 1 \huge\color{#D61F06}{(2+0!)! * 1}\\ O R \color{#EC7300}{OR} \\ ( 2 + e 0 ) ! 1 \huge\color{#69047E}{(2+e^0)!*1}\\

Ive yet to see a problem like this where the answer is NO

Lawrence Mayne - 5 years, 5 months ago

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The answer choices me. Since there are obviously things that are impossible in 2016, I chose the second answer.

Jonathan Yang - 5 years, 5 months ago
Maria Kozlowska
Dec 31, 2015

Other possible solutions:

20 + 1 = 6 \lceil \sqrt{20}\rceil+1=6

( 201 ) ! = 6 (\lfloor \sqrt{\sqrt{201}}\rfloor)!=6

tan ( 2 ) × ( 0 ! + 1 ) = 6 \lceil |\tan(2)| \rceil \times (0!+1)=6

Well you're kinda forcing it ?

Christopher Jonathan - 5 years, 5 months ago

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I was just following author's request to post different solutions.

Do you have more simple ones?

Maria Kozlowska - 5 years, 5 months ago

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Personally, I'm rather impressed.

Albert Wen - 5 years, 5 months ago

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@Albert Wen There are many more with use of double factorials etc. Like this one:

( ( 2 + 0 ! + 1 ) ! ) ! ! \lceil\sqrt{\sqrt{\sqrt{\sqrt{((2+0!+1)!)!!}}}}\rceil

Maria Kozlowska - 5 years, 5 months ago

A slash through the equal sign makes it read, 201 is not equal to 6. Which is true.

Luis Huerta - 5 years, 1 month ago
Zahid Hasan
Jan 3, 2016

My solution: 2^{2} + 0^{0} + 1 =6

Isn't 0 0 { 0 }^{ 0 } undefined ?

Rawan Medhat - 5 years, 5 months ago

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@Rawan Medhat 1

Zahid Hasan - 5 years, 4 months ago

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0^0 isn't 1. It is indeterminate.

Haopeng Li - 5 years, 2 months ago

Swap 0^0 for cos(0) and you are back on track

Tim Lister - 5 years ago
Phillip Clontz
Jan 20, 2016

the instructions allowing us to use ANY function makes the question trivial since you could define a function to force it. maybe kind of cheating.

Rishik Jain
Jan 3, 2016

( 2 + 0 + 1 ) ! = 6 (2+0+1)! = \large \boxed{6}

Andrea la Monaca
Jan 3, 2016

This is my solution

2 0 1 = l o g 6 ( 6 ) 2-0-1 = log_{6} (6)

Victor Blancard
May 12, 2016

Here's a solution:

2 log 2 6 + sin 0 + ln 1 \Large 2^{\log_2 6} + \sin0 + \ln1

Cyrus Significant
Feb 13, 2016

It is equal as is in the integers mod 3.

Maher Farag
Jan 3, 2016

( 2+0+1 )! = 3! = 3 × 2 × 1 = 6 proved

2^4 -10=6 (I invert 01 to 10)

Doesn't explain where you got that 4 from

William Rajan - 5 years, 2 months ago

{2 + 0 + 1)! = 3! = 1 x 2 x 3 = 6

Kip Johnson
Jan 3, 2016

My solution: 2^(log7/log2) - 0 - 1 = 6

Dario Alise
Jan 3, 2016

If anything is impossible 2^2+0+2^1 = 6

haha i like it :v

Nada Zohiery - 5 years, 5 months ago

Lol my solution too.

Christopher Millar - 5 years, 2 months ago
Harry Koeppel
Jun 11, 2016

2! + 0! +1 = 6

Using factorial a can make the 0 useful

Midhun George
May 31, 2016

My answer is 2 X mod(sqrt(10)) = 6

Basile Etienne
May 29, 2016

Here's my solution: 2^3 - (e^0 + 1) = 6

Sarah-Ann Moran
May 16, 2016

Or 2^2 +(cos(0))+1=6..... 2^2=4..... cos(0)=1...... So 4+1+1=6

Marchrius E.
May 13, 2016

The solution is in the answer itself

Lachie Rodwell
Apr 25, 2016

You could also do: 2^2 + 0^0 + 1 = 6 I'm not that good at formatting but wanted to show my answer. Anything to the power of 0 is 1 so therefore I've written 4 + 1 + 1 which equals 6.

Ryan Kelly
Apr 17, 2016

I thought of calculus and went for 2x0x1=d/dx(6)

If that counts

Wil Son
Apr 10, 2016

My solution was:

2×0 + 1 = 6^(0)

Mikey Csencsits
Feb 25, 2016

1^2=6^0 So 1=1 since anything to the power of 0 equals 1. I think my answer is great because I didn't add or reuse any of the numbers.

Hamza Ali Zafar
Jan 12, 2016

I just thought that, we could use greater than operator. it could be 2+0+1 <= 6 GREATER THAN is an operater right??

Tanmay Sharma
Jan 3, 2016

Solution: ( 2 + 0 + 1 ) ! = 6 Add all of them and then take factorial.

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