Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Given $5$ flags of different colours

We know the signal requires $2$ flags.

The number of flags possible for upper flag is $5.$

Now as one of the flag is taken, the number of flags remaining for lower flag in the signal is $4.$

The number of ways in which signal can be given

\[=\text{ }5\text{ }\times \text{ }4\text{ }=\text{ }20.\]