The flag of a newly formed forum is in the form … of three blocks, each to be coloured differently. If there are six different colours on the whole to choose from how man such designs are possible.

Explanation

The first block of the flag can be coloured by anyone of the 6 given colours. So, there are 6 ways to colour the first block. Now, the second block can be coloured by anyone of the remaining five colours.


So, there are 5 ways to colour the second block.


The third block can now be coloured by anyone of the remaining four colours. So, there are 4 ways to colour the third block.


Hence, by the fundamental principle of multiplication, the required number of designs =`(6xx5xx4)=120.`