there is 3*3 grid and we have two colours to fill in it and we have to find the number of ways it looks same when it is turned by an angle of 180 degree

• @ pranita sharma.........consider 3*3 grid....u have total 9 tiles....start wid the left top tile and number them....so when u rotate 180 degrees,tile 1 moves to 9th position...tile 2 moves to 8th position ,tile 3 moves to 7th position..similarly the other tiles.....the centre tile dosent change its position even if we rotate it 180 degrees...so u r left wid total 5 positions ..and u have 2 colours to fill wid...apply probabilty and u get 32....
• 12 years agoHelpfull: Yes(8) No(4)
• can you please elaborate.. why 5 positions?
  
• 12 years agoHelpfull: Yes(5) No(2)
• other than the middle tile....all the tiles lying on the edge are same even when rotated by 180 degrees...total 5 positions and two colours....so 32 possibiltes
• 12 years agoHelpfull: Yes(3) No(1)