In the next world cup of cricket, there will be 12 teams divided equally into two equal groups. Team of each group will play a match against other teams of the group. From each group, 3 top teams will qualify for next round. In this round, each team will play against each other. Four top teams of this round will qualify for semifinals and play against each other and then two top teams will go to final where they play the best of three matches. How much minimum number of matches in the next world cup will be?

The value of $\displaystyle N$ in $\displaystyle N! + \frac{1}{7!} = \frac{1}{8!}$ is

A person can go from place 'A' to 'B' by 11 different modes of transport but is allowed to return to 'A' by any mode other than the one earlier. The number of different ways in which the entire journey can be completed is:

If a man travels from place A to B in 10 ways then by how many ways can he come back by another train?

If $\displaystyle \frac{n!}{10(n-1)!} = \frac{(n-1)!}{(n-3)!}$ find 'n'.

Which of the following is a correct statement.

$\displaystyle ^nP_3 = 2 \cdot ^nP_2$. Find $\displaystyle n$.