M4maths Previous Puzzles

01 Jun 2009 Chess Game Puzzle...

In a chess game a man plays 16 moves, one move to every piece in the following manner:-
� King can move 1 step in any direction
� Queen can move in any direction
� Rook can move straight in any direction
� Bishop can move in slant squares
� Knight can move 2 forward then 1 turned step
� Every pawn can move 1 or 2 step forward
What is the probability that after that move all the piece are arranged in third
and fourth row if initially they are arranged in first and second row as the rule of game.

OPtion

1) 0
2) 1/2
3) 1/3
4) 1/4
5) 4/5
6) 5/6
7) 2/3
8) 3/4
9) 2/5
10) 3/5

Solution

Since King can move only one place in any direction hence it is impossible to take it in
third or fourth row.

Correct Option: 1 Best Solution (0)