There can be 14 clubs in a golf bag during tournament play. The putter is considered one of the clubs.
The rules of golf state that a golfer may have as many as 14 golf clubs in his bag for a given round. If you violate this rule, you are assessed a 2-stroke penalty for each hole on which you have too many clubs, up to a maximum of 4 penalty strokes. In match play, you lose the hole for a maximum penalty of two holes lost. This can be the difference in winning and losing an important match, so follow the rules and don’t put any more than 14 clubs in your bag.
Both the USGA (US) and Royal & Ancient Golf Club of Saint Andrews (Europe) allow a maximum of 14 clubs.
Rule 4-4. Maximum of 14 Clubs
Selection and Addition of ClubsThe player must not start a stipulated round with more than 14 clubs. He is limited to the clubs thus selected for that round, except that if he started with fewer than 14 clubs, he may add any number, provided his total number does not exceed 14.
The addition of a club or clubs must not unduly delay play (Rule 6-7) and the player must not add or borrow any club selected for play by any other person playing on the course.