In how many different ways can four students stand in a straight line if two of the students refuse to stand next to each other?

Hey there! I'm happy to help!

Let's look at each spot in the line from left to right and see how many choices they are.

In spot 1, we have 4 choices. Let's say that we choose the student who doesn't want to stand next to to the other student. This means that in the next slot, there are only 2 choices because he cannot stand by the other student. Now when we move to spot number three, there are only two choices left, and then there is 1.

4×2×2×1=16

So, there are 16 different ways the students can stand in a straight line if two of the students refuse to stand next to each other.

Have a wonderful day! :D

muyb ajo

step-by-step explanation:

jegosu

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step-by-step explanation: