Barry, John, and Caleb, all perfect logicians, were very bored one day and they decided to come up with a new game (they haven't got a name for that game yet). The rules were quite simple :
The first player gets to take either 1, 2, 3, 4 or 5 from the 40 available pens.
Then, the second player is also able to pick either 1, 2, 3, 4, or 5 from the remaining pens.
The third player is able to do the same
Repeat steps 1, 2 and 3 until the player who takes the last pen loses
Now comes the question :
Imagine you are Barry and whether Barry or the other players go first is entirely up to you.
Is it always possible to win at this game?
Players aren't allowed to work together in this game