Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**CEHolcomb****Guest**

I have a little Mexican restaurant. We offer a make-your-own menu. I would like to know how many possible combinations exist.

We are building a burrito

First step, Column A-Choose one out of six meat options

Second, Column B-Choose between Rice Only, Beans Only, Rice & Beans together, or none at all (Four choices)

Third, Column C-Choose between 15 diferrent veggies, cheese, and extras. You can choose all of them, some of them, or none of them

Fourth, Column D-Choose one out of seven salsas.

Can anyone help me with this number?

Thank you. Whoever helps me gets some free burritos and beverages.

Chuck Holcomb

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi CEHolcomb

*Last edited by anonimnystefy (2012-08-03 10:36:48)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

**TheDude****Member**- Registered: 2007-10-23
- Posts: 361

First multiply the number of options available in steps 1, 2, and 4. This gives you 6 meat options X 4 rice/bean options X 8 salsa options (assuming you can choose no salsa) = 192.

Now you need to determine the number of ways of choosing options in step 3. This looks like

Multiply those together and you get a total of 192 X 32768 = 6,291,456 possible combinations.

Wrap it in bacon

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

It looks like it all depends on whether you can choose no salsa or not.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi CEHolcomb;

I am very hungry! Welcome to the forum!

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**noelevans****Member**- Registered: 2012-07-20
- Posts: 236

Hi CEHolcomb!

All three answers are Humongous! You might consider hiring someone to counsel your customers

or offer a course in "menu choices." Does it take the customers quite a while to make all of these

choices? It might take a while to go through millions of possibilities (ha ha)!

Have a "choice" day!

Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).

LaTex is like painting on many strips of paper and then stacking them to see what picture they make.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi noelevans

There are only two answers.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

**noelevans****Member**- Registered: 2012-07-20
- Posts: 236

You are right stefy! I think I pulled in a "dyslexia" moment. Humongous anyway, eh?

Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).

LaTex is like painting on many strips of paper and then stacking them to see what picture they make.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

There is only one answer. I will be eating till I explode.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

We were talking about the number of potential answers that were posted here. Eat what?

*Last edited by anonimnystefy (2012-08-03 09:54:45)*

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

I believe I got the little guy. Oh, he will wiggle but I will reel him in!

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

The little guy?

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

You know him.

The free food of course.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

But I gave the correct answer first.

What little guy? J-R 0 |) ?

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hmmm. I think I was first, please check post #2

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Post #2 is mine. And the answer is the same as yours.

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Why it is! Very good. I could have sworn that 5 was on the bottom but now I see it is on the top like it belongs. Me olde eyes failing me again.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Hi bobbym

Yes, that five was on the bottom. I typed out the LaTeX wrong.

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

I already know that.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Then there's nothing to discuss. We wait to see if the OP has any questions.

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

I have several questions for the OP.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

Which questions?

Here lies the reader who will never open this book. He is forever dead.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

It would be where do I go to get my dinner.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

Pages: **1**