Partial credit is available in some form for each answer type. You can set up your questions so that Populi will automatically assign partial credit for certain answers; you can also give partial credit if you're grading answers manually.
Remember that if you don't check Partial Credit on a given question, your students will need to enter the correct answer—no more, no less—to receive credit for that question.
Here's how Populi approaches automatic partial credit for put in order, multiple answer, and matching questions:
Put in Order
Partial credit for put-in-order questions is really tricky. We describe Populi's process in detail on the Populi Blog.
Multiple answer checks to see if the student marked only the correct answers.
So the student, having matched 3 of 5 answers, gets 3/5 of the point value.
Had he marked all three of the correct answers plus an additional, incorrect answer, he would be docked one point (2/5 credit).
Matching questions act much the same as multiple answer: the student simply has to match the correct terms together.
So the student, having matched 3 of 5 answers, gets 3/5 of the credit. Pretty straightforward.