Question

the number of straight line obtained by joining 16 points on a plane ,no thrice of them being on the same line is ​

Answer 1

Answer:

560

Step-by-step explanation:

Given  

the number of straight line obtained by joining 16 points on a plane ,no thrice of them being on the same line is  

Now number of points on a plane is 16.

We need to find the number of straight lines by joining 16 points and no three of them being on the same line.

A straight line has 2 end points.

So it will be 16 C 32

We know that nCr = n! / (n – r)! r!

                              = 16! / (16 – 2)! 2!

                            = 16 x 15 / 2

                          = 120