At first there were 4 teams:
Toronto Hockey Club
Montreal Wanderers
But halfway through the season, the Montreal Wanderers resigned from the league. So in the end there were 3.
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I believe the answer to this question would be none. The NHL didn't form until 1917, until that time it was the NHA (National Hockey Association) which had been established in 1909.
Six. They are called the "original six" teams. They are the Boston Bruins, Chicago Blackhawks, Detroit Red Wings, Montreal Canadiens, New York Rangers, Toronto Maple Leafs