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I am building an inventory page for one of my friends who is a printer and need to know how many permutations there are for the following. He has a page on his site where you can choose 1 option from each of the follwing categories. 1. Size: Option $1$ (3.5"X2 Landscape") Option $2$ (2"X3.5" Portrait). Quantity: Option $1$ (500 Business Cards), Option $2$ ($250$ Business Cards), Option 3 (500 Business Cards), Option $4$ (1000 Business Cards), Option $5$ (2,500 Business Cards) Option $6$ (5000 Business Cards).Paper Stock: Option $1$ ($14$ Point Gloss), Option $2$ (14 Point Premium), Option $3$ (16 Point Matt). Color: Option 1 (Full Color/One Sided) Option 2 (Full Color/2 sided)

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    And what did you try up to now? What is your guess? – 2017-02-06
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    715. I used a permutation calculator and plugged in the following 13 for elements to choose from, 4 for elements chosen, No for Order is important and no for repetion is allowed. – 2017-02-06
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    So what are you asking exactly? – 2017-02-06
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    On the different categories, there are $2$, $6$, $3$ and $2$ options available. So all possible combinations a customer can choose is $2\cdot6\cdot3\cdot2$. I am not sure why your are talking about permutations. Also, you mention "order important" and "repetition allowed". Does that mean your question leaves some aspects out? Are we supposed to know that? – 2017-02-06
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    Forgive me but I did not get passed Algebra 2. I want to know how many permutations/combinations there are. For example you could pick option 1 from each category and end up with a 3.5"x2" Landscape card, quantity of 100 on 14 point gloss paper stock with Full Color on one side. Then if you pick option 2 from the 1st category and Option 2 from the remaining 3 you would get a different prodcut/card and so on. How many differnt cards can be made by choosing the different options. – 2017-02-06
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    That is what my comment says, $2\cdot6\cdot3\cdot2$ for $size\cdot quantity\cdot paperstock\cdot color$. – 2017-02-07
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    Is there a formula that will help me figure out how many unique products can be made using 1 and only 1 option from each category? – 2017-02-07

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