+0  
 
0
43
2
avatar

Ten distinct points are identified on the circumference of a circle. How many different convex quadrilaterals can be formed if each vertex must be one of these 10 points?

 Apr 21, 2020
 #1
avatar
+1

There are 252 cyclic quadrilaterals that can be formed.

 Apr 22, 2020
 #2
avatar+109477 
+1

trianlges  10C3 = 120

quadrialterals 10C4 = 210

pentagons  10C5 = 252

hexagons 10C6 = 210

heptagons 10C7 = 120

octogons 10C8 = 45

nonogons 10C9 = 10

deacagons 10C10 = 1

 

120+210+252+210+120+45+10+1 = 968 cyclic polygons

 

But then the question only wants the quadrilaterals so I get  210

 Apr 22, 2020

30 Online Users

avatar
avatar
avatar
avatar