Coupon to make an option free

I have one product in my store, and it contains two options that each have several variants.

I need to have a coupon code that will allow for one of the options to be free of charge. I also need that code to offer a certain dollar or percentage off the product itself. So for example, a customer enters the code and they receive $100 off the product plus one of the options is free. Can I do that?

OR, a customer needs to be able to enter more than one coupon: one for $100 off and one for the option to be free. But preferably one coupon would do both discounts. Also, if a customer orders multiple quantities, the discount applies to the entire order, so is multiplied by that quantity.

Thanks in advance for your advice.