We have just completed few games of W.I playing with the core set only.

Some units did not come with 3 cards

As a example, Playing with Orcs:

Doom Divers has one card, Boar Boyz has 2 unit cards and Black Orc squads have 3 cards.

The maximum allowance of any card is 3, so in order for one person to have 3 Doom Divers & 3 Boar Boyz he/she must purchase 2 or 3.

Is this correct ? Because one core set the factions are not very balanced when it comes to their faction card availability.

we just wanted to show the game to new players and they want to play the game from the core set and can not have the time or money to spend on Mini Packs or Deluxes.

Yes that is correct. No LCG core set comes with a complete playset.

Yes that is correct. No LCG core set comes with a complete playset.

What do you mean? The core set is a standalone playable game with 4 faction and 4 capital boards. Of course your deck building technic is limited and you have to purchase at least an Assault on Ulthuan (HE, DE) if you would like to get all the 6 factions and theirs capital boards. Also if you would like to play with the neutral factions it is better to buy a March of the Damned and a Hidden Kingdoms expantions as well. For better multiplayer game possibility the Cataclysm is preferable to.

But, you are perfectly able to play with the core set (only with a limitation of the cards).

Yes that is correct. No LCG core set comes with a complete playset.

What do you mean? The core set is a standalone playable game with 4 faction and 4 capital boards. Of course your deck building technic is limited and you have to purchase at least an Assault on Ulthuan (HE, DE) if you would like to get all the 6 factions and theirs capital boards. Also if you would like to play with the neutral factions it is better to buy a March of the Damned and a Hidden Kingdoms expantions as well. For better multiplayer game possibility the Cataclysm is preferable to.

But, you are perfectly able to play with the core set (only with a limitation of the cards).

I never said it wasn't playable I said it doesn't come with a playset.

A playset is the max copies allowable of a card. So for Warhammer Invasion 3, for WoW TCG 4 copies, for SW LCG 2 copies of an objective set.