Question

In a 3*3 square grid comprising 9 tiles each tile can be painted in red or blue color. When the tile is

rotated by 180 degree, there is no difference which can be spotted. How many such possibilities are

there?

Answer 1

Answer:

32

Step-by-step explanation:

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 (as thr are 2 colours) cell 12-32 can be altered in 2ways 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 2X2X2X2X2 = 32.

Answer 2

Answer:

32

Step-by-step explanation:

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.