Question

In a 3×3 square grid comprising 9 tiles, each tile can be painted in red or blue colour. When the tile is rotated by 180 degrees, there is no difference which can be spotted. How many such possibilities are there?

Answer 1

Answer:

According to the problem the grid has to be rotated at 180 degrees.

hence,  11=33

  12=32

13=31

21=23

22=22

31=13

32=12

33=11

cell 11-33 can be altered in 2 ways

cell 12-32 can be altered in 2 ways

cell 13-31 can be altered in 2 ways

cell 21-23 can be altered in 2 ways and ,

cell 22 can be altered in 2 ways.

so 2^5 = 32.