Tom is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a
new fence post for the third vertex. The old posts are located
at (-5,4) and (2,6), where the coordinates are given in feet.
If he has 25 feet total of wire fencing available to close off
the area, how much wire fencing will he have left, after he
connects the two posts he has already placed?

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?