How many diagonals can be drawn in a pentagon?
A. 5
B. 10
C. 8
D. 7
Answer: Option A
Solution(By Examveda Team)
A pentagon has 5 sides. We obtain the diagonals by joining the vertices in pairs. Total number of sides and diagonals, = 5C2 = $$\frac{{5 \times 4}}{{2 \times 1}}$$ = 5 × 2 = 10 This includes its 5 sides also. ⇒ Diagonals = 10 – 5 = 5 Hence, the number of diagonals= 10 – 5
= 5
This Question Belongs to Arithmetic Ability >> Permutation And Combination
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