You have nine line segments with the lengths of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively.
How many ways are there to form a square by connecting the ends of some of these
line segments? No overlapping of the line segments is allowed.

Respuesta :

The number of ways to forma a square by connecting the ends of some of the line segments is 3, 024 ways

What is permutation?

From the given information, we should use the formula for permutation without repetition.

The formula is given as;

Permutation = [tex]\frac{n!}{n -r !}[/tex]

Where n = number of set = 9

r = 4, this is so because, the sides of a square a four

Permutation = [tex]\frac{9!}{9 - 4!}[/tex]

Permutation = [tex]\frac{9!}{5!}[/tex]

Permutation = [tex]\frac{362, 880}{120}[/tex]

Permutation = 3, 024 ways

Thus, the number of ways to forma a square by connecting the ends of some of the line segments is 3, 024 ways

Learn more about permutation here:

https://brainly.com/question/12468032

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