- #1

hammonjj

- 33

- 0

## Homework Statement

Consider the game of `double move tic-tac-toe' played by the usual rules of tic-

tac-toe, except that each player makes two marks in succession before relinquishing

his turn to the other player (you may know tic-tac-toe by the name `noughts and

crosses'). Prove that there exists a strategy by which the first player always wins.

## Homework Equations

None that I can think of.

## The Attempt at a Solution

I have no clue how to prove this. The obvious strategy is that player one places an X at one of the corners of the board and then one in the center. Player two can't block all the winning strategies with their two moves.

The question is, how do I show this in "math speak"?

Thanks! Sorry for all the posting lately, I'm just terrible at Discrete Math.