A committee of 10 members is formed with members chosen from the faculties of arts, Economics, education, engineering, medicine and science. Number of possible ways in which the faculties representation be distributed on this committee, is :

Explanation

Here, we have to select `10` positions from the `6` departments.

So, first position can be filled in 6 ways.

Similarly, second position can be filled in 6 ways.

Similarly, all positions can be filled in `6` ways.


`:.` Number of possible ways `10` positions can be filled ` = 6^10`.