There are 5 balls of different colours and 5 boxes of colours the same as those of the balls. Number of ways in which the balls, one in each box can be placed such that a ball does not go to a box of its own colour is
I believe that the question stem is asking for the number of DERANGEMENTS.
A derangement is an arrangement in which NO ELEMENT is in the correct position.
For a discussion of this concept, check my posts here:
https://www.beatthegmat.com/permutation- ... 21513.html












