Can't find any reference. How many cards does each side get?
From the rules (also available for download at Days of Wonder):
The Combat cards introduced in this deck are designed to help spice up your Memoir '44 scenarios by introducing heroic street fighting and urban warfare where applicable. Combat cards are not like standard Command cards; rather they are usually played side-by-side with, or in addition to any, Command card played during your or your opponent's turn; their play helps represent the intensity - and lethality - of street combat!
When Combat rules are in effect, shuffle the Combat deck and deal 2 cards to each player before the start of a standard battle. Or deal 1 card to each Field General, when playing in Overlord mode. Place the remaining Combat cards in a deck next to the deck of Command cards, within easy reach of the players.