This is typically a benefit for states that have have no state income tax, such as Washington... texas is another example off the top of my head. In that case, it is beneficial to deduct sales tax in lieu of state income tax. If you live in a state with income tax, then that number is usually higher than sales tax (especially if you're mustachian) and therefore it's more benefial to claim your income tax. This is clearly an "or" situation as you can see on your Schedule A lines 5 a/b, you can only deduct one or the other.
You can deduct both sales tax and property tax, property tax is on your schedule A, line 6.