Only about half the countries on Earth have any athletes at all in the 2014 Olympics, so it's a hundred-way tie for fewest.
Bhutan, 2
11 nations have 2 athletes
There are 11 countries with only 2 athletes
Nepal
Many countries have 5 or less athletes and it is more than a 10 way tie for those with only 2
The "Maldives" has the fewest people in Asia. The population is 360,000.
Chad has the fewest paved roads in Sahel.
Oman
Antarctica Well Sealand has one of the fewest people living, but it's not noticed as a country.
In golf, the "foe" would be the number of strokes needed to get the ball into the hole. You're competing to see who can do that in the fewest number.
Canada