In horse racing, different horses are often assigned different weights to carry. in a particular race, the standard weight carried is 53 kg. the weight carried by each horse cannot differ by more than 4 kg from the standard. what are the maximum and minimum acceptable weights for a horse to carry in this race?
a 49 kg–57 kg
b 53 kg–61 kg
c 51 kg–55kg
d 45 kg–53 kg

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 ?