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Mathematicians, Is this even possible?

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Mathematicians, Is this even possible?

Old 03-01-20, 05:32 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by grundle View Post
If p is the number of possible toppings, then the number of different possible combinations is 2^p. In order to have one trillion possible combinations, you would need to have at least 40 different possible toppings, because 40 is the smallest number p where (2^p) >= one trillion.

That list has 39 toppings.

So with 39 possible toppings, no, it is not possible to have one trillion different combinations.

If there were 40 toppings, then yes, it would be possible to have one trillion different combinations.

Close, but it is (2^n)-1. I went further earlier to hopefully illustrate the rationale.

Use a small number of choices and it is easy to see the minor error in your formula. Take 3 toppings. Your formula gives us 8 combinations, but there are clearly only 7 choices. Or go with only 2 toppings. 2^n would give us 4 combinations but in reality there are only 3.

And while 42 is always an acceptable answer, 549,755,813,887 is the correct answer.
Old 03-01-20, 05:43 PM
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Re: Mathematicians, Is this even possible?

All of you math geeks are total losers. Also, more than 4 or 5 toppings on one pizza is horrible, especially if they are veggies.

My answer is 12.
Old 03-01-20, 05:48 PM
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Re: Mathematicians, Is this even possible?

No idea but who the hell puts ziti and broccoli on pizza??
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Old 03-01-20, 05:49 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by Pharoh View Post
Close, but it is (2^n)-1. I went further earlier to hopefully illustrate the rationale.

Use a small number of choices and it is easy to see the minor error in your formula. Take 3 toppings. Your formula gives us 8 combinations, but there are clearly only 7 choices. Or go with only 2 toppings. 2^n would give us 4 combinations but in reality there are only 3.

And while 42 is always an acceptable answer, 549,755,813,887 is the correct answer.

1) Pepperoni

2) Sausage

3) Mushroom

4) Pepperoni and sausage

5) Pepperoni and mushroom

6) Sausage and mushroom

7) Pepperoni, sausage, and mushroom

8) No toppings
Old 03-01-20, 06:35 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by Bacon View Post
No idea but who the hell puts ziti and broccoli on pizza??
San Francisco
Old 03-01-20, 06:39 PM
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Re: Mathematicians, Is this even possible?

Once you hit double digit toppings it's no longer a pizza it's a casserole.
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Old 03-01-20, 06:42 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by grundle View Post
1) Pepperoni

2) Sausage

3) Mushroom

4) Pepperoni and sausage

5) Pepperoni and mushroom

6) Sausage and mushroom

7) Pepperoni, sausage, and mushroom

8) No toppings

Based on first post and advert, I assumed k>0, hence the need for -1.
Old 03-01-20, 07:38 PM
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Re: Mathematicians, Is this even possible?

The number of possible combinations actually doubles IF you order the pizza and then call back to change the toppings.


Oh yeah, you only have 1/5th the number of combinations if you make it at home.
Old 03-01-20, 07:39 PM
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Re: Mathematicians, Is this even possible?

I suppose it depends on what "linguica" is. Is it a rational number?
Old 03-01-20, 09:11 PM
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Re: Mathematicians, Is this even possible?

Leave it to the mathematicians of this fine forum to totally pwn this. QED.
Old 03-01-20, 10:35 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by Abob Teff View Post
The number of possible combinations actually doubles IF you order the pizza and then call back to change the toppings.


Oh yeah, you only have 1/5th the number of combinations if you make it at home.
The real question is if the pizza delivery man shows up to a 3 apartment building with no addresses on the doors and picks door #1... nevermind.
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Old 03-01-20, 11:26 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by Michael Corvin View Post
The real question is if the pizza delivery man shows up to a 3 apartment building with no addresses on the doors and picks door #1... nevermind.
Is there a hole cut in the bottom of the pizza box?
Old 03-01-20, 11:46 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by Michael Corvin View Post
The real question is if the pizza delivery man shows up to a 3 apartment building with no addresses on the doors and picks door #1... nevermind.
That was better than mine ... well, more obvious anyway.
Old 03-01-20, 11:48 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by Mrs. Danger View Post
I suppose it depends on what "linguica" is. Is it a rational number?

Cunning linguica?
Old 03-02-20, 05:01 AM
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Re: Mathematicians, Is this even possible?

Originally Posted by grundle View Post
1) Pepperoni

2) Sausage

3) Mushroom

4) Pepperoni and sausage

5) Pepperoni and mushroom

6) Sausage and mushroom

7) Pepperoni, sausage, and mushroom

8) No toppings
Yeah, "zero toppings" is an option. It's a plain cheese pizza.

Old 03-02-20, 05:35 AM
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Re: Mathematicians, Is this even possible?

Originally Posted by Kurt D View Post
Is there a hole cut in the bottom of the pizza box?
I think this works better with your girlfriend at the movies with the popcorn.
Old 03-02-20, 07:41 AM
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Re: Mathematicians, Is this even possible?

Originally Posted by Josh-da-man View Post
Yeah, "zero toppings" is an option. It's a plain cheese pizza.

It is a minor semantic quibble, but I submit again that the question poses, "how many combination of number of toppings. There is necessarily needs to be a topping given the list provided. I understand you can order a plain cheese pizza in real life, but not here. More generally, this type of question is usually presented with examples where a choice is required. Pick x number of cards out of a deck, or what are number of combinations in lottery.

Either way, your were correct. Also interesting how you approach from a binary standpoint.
Old 03-02-20, 12:18 PM
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Re: Mathematicians, Is this even possible?

Anyone calculating this without using sicilian defense is doing it wrong.
Old 03-03-20, 01:46 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by grundle View Post
If p is the number of possible toppings, then the number of different possible combinations is 2^p. In order to have one trillion possible combinations, you would need to have at least 40 different possible toppings, because 40 is the smallest number p where (2^p) >= one trillion.

That list has 39 toppings.

So with 39 possible toppings, no, it is not possible to have one trillion different combinations.

If there were 40 toppings, then yes, it would be possible to have one trillion different combinations.
The unlisted fortieth topping option could be "no cheese" or "no sauce"...

Savages.

And 8x pepperoni sounds like a challenge. Accepted.
Old 03-03-20, 01:55 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by DVD Polizei View Post
I can think of a trillion reasons why that ad sucks.

But I won't because it will hurt.
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This thread makes my head hurt...
Old 03-03-20, 01:57 PM
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Re: Mathematicians, Is this even possible?

Originally Posted by General Zod View Post
Anyone calculating this without using sicilian defense is doing it wrong.
Would that be similar to the Wookie Defense?




*I know it's a chess thing
Old 03-04-20, 07:43 AM
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Re: Mathematicians, Is this even possible?

Originally Posted by Deadman31 View Post
I think they made up a bullshit number figuring nobody would counteract them. They were wrong


"That sure does look like a mile of cars to me."
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Old 03-06-20, 09:29 AM
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Re: Mathematicians, Is this even possible?

According to an MSNBC reporter and his guest from the New York Times, 500 million / 327 million = 1 million
Old 03-06-20, 09:53 AM
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Re: Mathematicians, Is this even possible?

Originally Posted by AGuyNamedMike View Post
The unlisted fortieth topping option could be "no cheese" or "no sauce"...

Savages.

And 8x pepperoni sounds like a challenge. Accepted.
Don't forget white sauce (alfredo) or "light sauce"(not a lot) light cheese etc.
Old 03-06-20, 09:54 AM
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Re: Mathematicians, Is this even possible?

Originally Posted by grundle View Post
According to an MSNBC reporter and his guest from the New York Times, 500 million / 327 million = 1 million
The problem (well other than the MSNBC reporter was Brian Williams) is that they did not see this:
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