Question:medium
Let \( p_n \) denote the total number of triangles formed by joining the vertices of an \( n \)-side regular polygon. If \( p_{n+1} - p_n = 66 \), then the sum of all distinct prime divisors of \( n \) is:
Let \( p_n \) denote the total number of triangles formed by joining the vertices of an \( n \)-side regular polygon. If \( p_{n+1} - p_n = 66 \), then the sum of all distinct prime divisors of \( n \) is:
Updated On: Apr 10, 2026
- 7
- 8
- 5
- 6
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Combinatorics
- Two players A and B play a series of games of badminton. The player who wins 5 games first, wins the series. Assuming that no game ends in a draw, the number of ways in which player A wins the series is _________.
- JEE Main - 2026
- Mathematics
- Combinatorics
- A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th floor. The number of ways, in which any 4 persons exit at a floor and the remaining 5 persons exit at a different floor, if the lift does not stop at the first and the second floors, is equal to :
- JEE Main - 2026
- Mathematics
- Combinatorics
If for \( 3 \leq r \leq 30 \), \[ \binom{30}{30-r} + 3\binom{30}{31-r} + 3\binom{30}{32-r} + \binom{30}{33-r} = \binom{m}{r}, \] then \( m \) equals: ________
- JEE Main - 2026
- Mathematics
- Combinatorics
- Let \(A = \{ (a, b, c) : a, b, c \text{ are non-negative integers and } a + b + 2c = 22 \}\). Then \(n(A)\) is equal to:
- JEE Main - 2026
- Mathematics
- Combinatorics
- Want to practice more? Try solving extra ecology questions todayView All Questions
