There are 5 balls of different colours and 5 boxes of colours the same as those of the balls. The no 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 won colour is ???

Dear pinak,

 # of ways to arrange the 5 colored balls so that no ball corresponds with the box of the same color is:

120(1 - 1 + 1/2 - 1/6 + 1/24 - 1/120) = 120[ (60 - 20 + 5 -1)/120 ] = 120(44/120) = 44 different ways.

Cracking IIT just got more exciting,It s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and win by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple  to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert