A probability problem by Digi Verse
Probability
Level
pending
A 6*6 grid is colored like a chess board. How many ways are there to select one white grid and one black grid such that they are not in the same column or row?
The answer is 216.
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1 solution
In a 6 6 chess board, if drawn out, has 18 black and 18 white boxes. First, there are 18 ways to choose a black box. Any black box chosen will eliminate 6 boxes which are either in its row or column. This leaves 12 white boxes left to choose from. Therefore, 12 18 equals 216.