Tic Tac Toe 2

Logic Level 3

$\begin{array}{l|c|r}O & 1 & 2 \\ \hline 3 & O & 4 \\ \hline 5& 6 & X\end{array}$

In the above position it's X turn. In which boxes if X puts his sign he'll make a draw?

Note: Assume that X and O are both trying to win. Write your answer as a sum. If it's impossible write 0.

Tic Tac Toe 1

The answer is 7.

1 solution

B D
Dec 23, 2018

If $X$ puts in 1, $O$ will put in 5 and has two chances to make 3 in a diagonal or column. $X$ loses.

If $X$ puts in 2, $O$ must put 4, then $X$ must put in 3, $O$ can put in 1, 5 and 6 . Lets say he puts in 1. $X$ must put in 6, $O$ puts in 5 and it is a draw .

If $X$ puts in 3, $O$ will put in 2 and has two chances to make 3 in a diagonal or row. $X$ loses.

If $X$ puts in 4, $O$ must put in 2 has two chances to make 3 in a diagonal or column. $X$ loses.

If $X$ puts in 5, $O$ must put in 6, $X$ must put in 1, $O$ can put in 2, 3 and 4. Lets say he puts in 3, $X$ must put in 4 and $O$ only has the space to put in 2. And it's a draw .

If $X$ puts in 6, $O$ must put in 5 and has two chances to make 3 in a diagonal or column. $X$ loses.

2 + 5 = 7

Tic Tac Toe 2

The answer is 7.

1 solution

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