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Grade: Upto college level

                        

how many quadrilaterals can be formed using the vertices of a polygon of 10 sides having i)2 sides in common with sides of polygon ii)3 sides in common with polygon............ plzzzzzzzzz show each and every step.....................

9 years ago

Answers : (1)

Pramod J AskiitiansExpert-IIT-B
36 Points
							

Dear student,

polygon has 10 vertices

A quad has 4 vertices 

=> number of quads possible = 10C4

for 2 sides to be common,

number of non adjacent sides can be picked = 2*(7+6+5+4+3) = 50

number of quads possible with adjacent sides = 9*7 = 63

toal = 50+63 =113

i hope this explains your question !!!

9 years ago
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