There is a 3*3 matrix . u have 2 colors red and blue. in how many ways u can fill the colors in the boxes so that if u rotate the matrix by 180 degree we get the same matrix?

• center element in 2 ways....
  diagonally placed elements interchange after rotating 180deg
  out of these 2 elements can be filled in 2 ways and the other 2 in one way...
  opposite elements also in the same way
  so total 2*2*2*2*2*1*1*1*1=32ways
• 10 years agoHelpfull: Yes(14) No(0)
• 2 2 2
  2 2 1
  1 1 1 (each element are represented no. of ways--hence 2^5=32
• 10 years agoHelpfull: Yes(3) No(1)
• 32 ways.....2^5 ways
• 10 years agoHelpfull: Yes(1) No(0)
• 8 ways
  as centre fill in 2 ways and others in 4 ways so that we get same image by rotating
  32 is nt as 32 is total ways without considering the rotation
• 10 years agoHelpfull: Yes(1) No(4)
• center element in 2 ways
  diagonally placed elements interchange after rotating 180degree
  out of these 2 elements can be filled in 2 ways and the other 2 in one way
  opposite elements also be placed in the same way
  so total 2*2*2*2*2*1*1*1*1=32ways
• 10 years agoHelpfull: Yes(1) No(0)
• @rubell why 2^5..????
• 10 years agoHelpfull: Yes(0) No(0)
• 32 ways.....2^5 ways
• 9 years agoHelpfull: Yes(0) No(0)