13. In a mutual project, both Raj and Bhuvan are contributing their efforts, using identical materials. Raj receives a bonus based on the Rowan plan, while the Halsey plan determines Bhuvan’s bonus. The standard time allocated for the project is 150 hours. Raj completes the project in 90 hours, while Bhuvan finishes it in 120 hours. The normal hourly wage rate for Raj is ` 30. The total earnings for both workers are equal. Calculate the normal hourly wage rate to be paid to Bhuvan.

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 $\displaystyle n$.