How many different signals can be given using any number of flags from 5 flags of different colors?

How many different signals can be generated from 6 flags of different colours if each signal makes use of all the flags at a time, placed one below the other?

Given 4 flags of different colours, how many different signals can be generated, if a signal requires the use of 2 flags one below the other?

Given four flags of different colours, how many different signals can be generated if each signal requires to use of 3 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?

In how many - 4 different balls can be distributed among 6 boxes.

In how many ways 10 different balls can be put in 2 difference boxes ?

In how many Ways 6 different balls can be distributed among 4 boxes.

(i) A mobile phone has a passcode of 6 digits. What is the maximum number of attempts one makes to retrieve the passed. (ii) Given four flags of different colours, how many different signals can be generated if each signal requires the use three flags, One below the other?

Find the number of different signals that can be generated by arranging at least 2 flags in order (one below the other) on a vertical staff, if five different flags are available.