COMEDK · Maths · 4. Permutation Combination
A polygon of \(n\) sides has 105 diagonals, then \(n\) is equal to
- A 20
- B 21
- C 15
- D -14
Answer & Solution
Correct Answer
(C) 15
Step-by-step Solution
Detailed explanation
\(\because\) The total number of lines joining any two points of the polygon is given by \({ }^n C_2\) So, \({ }^n C_2=105\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- What will be the equation of circle whose centre is \((1,2)\) and touches \(X\) - axis?COMEDK 2021 Medium
- The sum of three numbers is 6 .
Twice the third number, when added to the first number gives 7 ,
On adding the sum of the second and third numbers to thrice the first number, we get 12 .
The above situation can be represented in matrix form as \(A X=B\).
Then the \(|\operatorname{adj} A|\) is equal toCOMEDK 2025 Medium - \(\text { If } y=f(x), \quad p=\dfrac{d y}{d x} ; q=\dfrac{d^2 y}{d x^2} \text { then } \dfrac{d^2 x}{d y^2} \text { is equal to }\)COMEDK 2024 Medium
- A subset of the additive group of real numbers which is not a sub group, isCOMEDK 2016 Easy
- The area of the region bounded by the curve \(y^2=2 y-x\) and the \(y\)-axis isCOMEDK 2025 Medium
- \(0.5737373 \ldots\) is equal toCOMEDK 2013 Medium
More PYQs from COMEDK
-

Two charges 1C and 2C are placed at coordinates (0,3) and (4,3) respectively in an XY plane. What is the work done to put a 30C charge at the origin of the coordinate system?COMEDK 2026 Medium - The range of \(x\) which satisfy the inequation : \(-5 \leq \dfrac{2-3 x}{4} \leq 9\) isCOMEDK 2023 Easy
- Which of the following is a water soluble vitamin?COMEDK 2025 Easy
- On passing \(\mathrm{H}_{2} \mathrm{~S}\) into a solution containing both \(\mathrm{Zn}^{2+}\) and \(\mathrm{Cu}^{2+}\) in acidic medium, only CuS gets precipitate(d) This is becauseCOMEDK 2012 Hard
- A buffer solution was prepared by mixing 5 g of acetic acid with 7.5 g of sodium acetate. The solution was made upto 500 mL . The pH of the resulting solution is:
\(\left[p K_a=4.76\right]\)COMEDK 2025 Medium - Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 45° with each other. When the system is immersed in a liquid of relative density 0.8, the angle between the strings remains unchanged. If the density of the material of the sphere is 2.4 \(\text{gcm}^{-3}\), what is the dielectric constant of the liquid?COMEDK 2026 Medium