Problem Solving (PS) | Re: There are 5 chairs. Bob and Rachel want to sit such that Bob is always

For this problem, I literally wrote out the scenarios (I know, not the most efficient). I also know the answer choices do not account for this solution, but can someone humor me?

There are 5 chairs. Bob and Rachel want to sit such that Bob is always left to Rachel. How many ways it can be done ?

_ _ _ B R
_ _ B _ R
_ B _ _ R
B _ _ _ R
_ _ B R _
_ B _ R _
B _ _ R _
_ B R _ _
B _ R _ _
B R _ _ _

So clearly, 10 possibilities. My question: why aren't the remaining blank spots factorial?

For
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