Too Big to Calculate!

Geometry Level 2

What is the largest number of intersections of 100 lines?

4950 4000 10000 4545 5000

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Hana Wehbi
Feb 11, 2018

We can use the formula n ( n − 1 ) 2 = 100 × 99 2 = 4950 \frac{n(n-1)}{2}=\frac{100\times99}{2}=4950

Notice this formula is derived from ( n 2 ) = n ! 2 ! ( n − 2 ) ! = n ( n − 1 ) 2 \binom{n}{2}=\frac{n!}{2!(n-2)!}=\frac{n(n-1)}{2}

@Brian Charlesworth , I fixed it. I apologize for any inconvenience.

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