List of top Mathematics Questions on Combinations asked in MHT CET

If \( n^+ C_{n+1} - n^3 C_n = 15(n + 2) \), then \( n = \)
There are 11 points in a plane of which 5 points are collinear. Then the total number of distinct quadrilaterals with vertices at these points is ______.
The number of ways in which a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 of them are always to be excluded, is ______.
A regular polygon has 20 sides. The number of triangles that can be drawn by using the vertices but not using the sides are
A committee of 11 members is to be formed out of 8 males and 5 females. If \( m \) is the number of ways the committee is formed with at least 6 males and \( n \) is the number of ways with at least 3 females, then:
If $^{11}\text{C}_4 + {^{11}\text{C}_5} + {^{12}\text{C}_6} + {^{13}\text{C}_7} = {^{14}\text{C}_r}$, then the value of $r$ is