to exactly one other farm, for a total of N trails. However months into the project only M (1 &lt;= M &lt; N) of these trails had actually been built. Arguments between the farms over which farms already built a trail now threaten to split apart the cow alliance. To ease tension, Bessie wishes to calculate how many ways the M trails that exist so far could have been built. For example, if there is a trail connecting farms 3 and 4, then one possibility is that farm 3 built the trail, and the other possibilit