Question

In a 3x3 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:

32

Step-by-step explanation:

In a 3x3 square grid comprising 9 tiles, each tile can be painted in red or blue color. When the tile is rotated by 180°, there is no difference which can be spotted. How many such possibilities are there?

if i mark Tiles 1 to 9

then i will get corresponding tiles after rotating 180° which must have same color

so i will have 4 such pairs  & center one is rotated itself

Each pair can be Either Red or Blue & also centered one can be red or blue

so total possibilities = 2 * 2 * 2 * 2 * 2 = 2⁵ = 32