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#1 2012-08-04 05:07:01

CEHolcomb
Guest

combinations

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

#2 2012-08-04 05:39:15

anonimnystefy
Real Member

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Re: combinations

Hi CEHolcomb

Last edited by anonimnystefy (2012-08-04 08:36:48)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#3 2012-08-04 05:40:57

TheDude
Power Member

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Re: combinations

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

#4 2012-08-04 05:48:24

anonimnystefy
Real Member

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Re: combinations

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#5 2012-08-04 06:56:31

bobbym

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Re: combinations

Hi CEHolcomb;

I am very hungry! Welcome to the forum!

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#6 2012-08-04 07:32:10

noelevans
Full Member

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Re: combinations

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.

#7 2012-08-04 07:42:38

anonimnystefy
Real Member

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Re: combinations

Hi noelevans

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#8 2012-08-04 07:46:52

noelevans
Full Member

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Re: combinations

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.

#9 2012-08-04 07:50:40

bobbym

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Re: combinations

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#10 2012-08-04 07:54:29

anonimnystefy
Real Member

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Re: combinations

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

Last edited by anonimnystefy (2012-08-04 07:54:45)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#11 2012-08-04 07:58:48

bobbym

Offline

Re: combinations

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#12 2012-08-04 08:00:38

anonimnystefy
Real Member

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Re: combinations

The little guy?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#13 2012-08-04 08:04:40

bobbym

Offline

Re: combinations

You know him.

The free food of course.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#14 2012-08-04 08:07:53

anonimnystefy
Real Member

Offline

Re: combinations

But I gave the correct answer first.

What little guy? J-R 0 |) ?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#15 2012-08-04 08:23:26

bobbym

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Re: combinations

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

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#16 2012-08-04 08:26:40

anonimnystefy
Real Member

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Re: combinations

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#17 2012-08-04 08:50:00

bobbym

Offline

Re: combinations

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.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#18 2012-08-04 09:24:26

anonimnystefy
Real Member

Offline

Re: combinations

Hi bobbym

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#19 2012-08-04 18:20:22

bobbym

Offline

Re: combinations

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#20 2012-08-04 19:31:27

anonimnystefy
Real Member

Offline

Re: combinations

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#21 2012-08-04 20:47:51

bobbym

Offline

Re: combinations

I have several questions for the OP.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#22 2012-08-04 23:32:17

anonimnystefy
Real Member

Offline

Re: combinations

Which questions?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#23 2012-08-05 00:51:45

bobbym

Offline

Re: combinations

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

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.