Three girls and two boys are to be seated in a row. Find the number of ways that this can be done if...

This is a question on the topic of Permutations and Combinations. I have not understood anything regards to this topic. I would appreciate anyone explaining how Permutations and Combinations work in simpler terms. This, in my opinion, is the most challenging topic in all of Mathematics.

It won't help with the narrower problem, but in case you're in a Discrete Math or Combinatorics college course, I also found the subject rather unapproachable. I'm still not really good at these problems, but one thing I discovered that helped was the twelvefold way. What it offers is a singular, albeit more abstract problem (counting functions) which situates a large number of combinatorics formulas that are otherwise rapid fired out with no discernible structure (the circular table problem, the stars and bars problem, the books of a shelf problem, and on and on).
 
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