Impossible to complete ;)

Yes but mine is prettier (in my opinion)

X

Do we have to do the numbers in a particular order? $\dfrac{(0+1+2)!!}{4!}=30$

Can only use each digit once though.

I don't think that is acceptable, otherwise I can divide the circle up into my own system (not degrees) and get every number. For example, if I define 15 Jegrees to be equal to 30 degrees (divide the circle up into 180 equal Jegrees) then I can get arcsin(2/4)=15 and repeat the process for every number.

Hang on... did you just Factorial a Factorial?

Now that's sneaky.

the poster DID say that sin was allowed

Hey TSR


Ive got a little game here for you all. Using the numbers 2, 0, 1, 4 formulate the numbers 1-100. All the numbers must be used (2,0,1,4). Any mathematical symbol/ term or rule can be used. eg Sin, square.


You have to use each number and you can only use it once.

Just for fun good luck, first person to get it right for one number from 1-100 will be added up here with the boys

7 -

But didn't clarify whether degrees or radians should be used. Jamie092 was suggesting that it should be radians because degrees are too arbitrary. I agree - mathematicians should boycott degrees as a measure of angle

I'm sure that's not possible with the digits 1, 2, 4 and 0.

I'm also pretty sure you're not allowed to make up your own functions (the poster DID say that sin was allowed)

If you type into your calculator "cos(0)", you only get one answer. Imo these are the only numbers you should be using, not -180, -360, etc...

Hmmmmmm I am not happy with the way Fishy is using square

I would want to use the 2 for square otherwise, what is to stop us from using any power we want

That seems fair.

However, you haven't addressed the issue of degrees/radians. When I type $\sin(\dfrac{1}{2})$ into my calculator I get 0.523598775. If my calculator was set to degrees I'd get 30.

Well I didn't make up my own function, I mean sin's input can change depending on how you split up the circle. The obvious example is radians vs degrees. Neither system is privileged.

Also 4*sin^-1(1) + 2x0=360 in degrees, and we have 4^2-1 +0=15, if you want the numbers explicitly, though I'm not sure why!

1: 4-2-1+0
2: (4-2)/1 +0
3: 4/2 +1+0
4: 4+(1*2*0)
5: 4+1+(2*0)
6: 4+2+(1*0)
7: 4+2+1+0
8: (4*2)/1 +0
9: (4*2)+1+0
10: (4+1)*2 +0
11: 4^2 -(2^2 +1) +0
12: 4^2 -(2^2) /1 +0
13: 4^2 -2^2 +1+0
14: (4^2 -2) /1 +0
15: 4^2 -1 +(2*0)

First 15 answers

1: 4-2-1+0
2: (4-2)/1 +0
3: 4/2 +1+0
4: 4+(1*2*0)
5: 4+1+(2*0)
6: 4+2+(1*0)
7: 4+2+1+0
8: (4*2)/1 +0
9: (4*2)+1+0
10: (4+1)*2 +0
11: 4^2 -(2^2 +1) +0
12: 4^2 -(2^2) /1 +0
13: 4^2 -2^2 +1+0
14: (4^2 -2) /1 +0
15: 4^2 -1 +(2*0)

First 15 answers