Rafael wrote the statements shown in the chart.. . statement. . description. 1. . if a point lies outside a line, then exactly one plane contains both the line and the point.. 2. . if two points lie in a plane, then the line joining them lies in that plane.. which option best classifies rafael’s statements? . statement 1 is a theorem because it can be proved and statement 2 is a postulate because it is a true fact.. statement 1 and statement 2 are postulates because they are true facts.. statement 1 is a postulate because it is a true fact and statement 2 is a theorem because it can be proved.

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 ?