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skad [1K]
3 years ago
5

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?

Mathematics
2 answers:
Fiesta28 [93]3 years ago
5 0

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

spayn [35]3 years ago
5 0

Answer:

16

Step-by-step explanation:

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