Permutations And Combinations Question 78
Question: A polygon has 35 diagonals, then the number of its sides is [AMU 2002]
Options:
A) 8
B) 9
C) 10
D) 11
 Correct Answer: CShow Answer
  Answer:
Solution:
Þ  $ \frac{n!}{2!(n-2)!}-n=35 $
Þ  $ n(n-1)-2n=70 $
Þ  $ n^{2}-3n=70 $
Þ  $ n^{2}-3n-70=0 $
Þ  $ (n+7)(n-10)=0 $
Þ  $ n=10 $ .
 BETA
  BETA 
             
             
           
           
           
          