Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true? A)The value of the binomial coefficient nC0 is n – 1 for all values of n. B)The values of nC1 and nCn–1 are equal to 1. C)The values of nC0 and nCn are equal to 1. D)The value of the binomial coefficient nC1 is n – 1 for all values of n.

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 ?