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A white cube(with six faces) is painted red on two different faces. How many different ways can this be done (two paintings are considered same if on a suitable rotation of the cube one painting can be carried to the other)?
A2
B15
C4
D30
Show Explanation
Paint on 1 side of the cube.
The condition given here is when on suitable rotation the paint is carried to another which means when a face is turned the adjacent side is having the same paint. So all the 5 sides will be adjacent to one side…
One will be exactly opposite to that side…
Selecting 1 adjacent side = 1 way
Selecting the opposite one= 1 way So total= 2 ways.
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Paint on 1 side of the cube.
The condition given here is when on suitable rotation the paint is carried to another which means when a face is turned the adjacent side is having the same paint. So all the 5 sides will be adjacent to one side…
One will be exactly opposite to that side…
Selecting 1 adjacent side = 1 way
Selecting the opposite one= 1 way So total= 2 ways.
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