Creating a Part Number Form

Hello,

I'm trying to find out if there is a way to make a form page that would generate a part number.

As an example, say you were selling a new car.... The purchaser would have choices of 10 available options, with several choices per option. Each option would generate a digit in the 10 digit part number. The digit created by the option would be determined by a choice from a drop down menu. At the bottom of the form would be the generated part number, which would update live as the purchaser chooses options.

I hope I've explained my goal clearly enough.
Can this be done as part of a website ?
What type of program would be necessary to create this ?

Thanks in advance for your help !

Nick