Question

10 points lie on the circumference of a circle. How many inscribed quadrilaterals can be drawn using these points as vertices? I'll give medals for sure:)

Answer 1

Does anyone have an idea?

Answer 2

I not sure but I feel this is something involving factorials. You have 10 points and you choose different ways to connect four.

Same as having ten chairs and 4 students. Then figuring out how many ways you can arrange the students in the ten chairs.

Answer 3

I like your approach!!!

Answer 4

yes, you need to choose 4 points to make a quadrilateral, out of 10 given points, so number of way(quadrilaterals) will be just 10 choose 4 .

Answer 5

yes, I'm not sure how to do 10C4

Answer 6

\(\huge ^nC_r = \dfrac{n!}{r!(n-r)!}\)
n=10, r=4

Answer 7

oh, wait a second

Answer 8

okay, that would be: