Members of a school social service group hold a spaghetti dinner to raise money for orphan children. they must sell tickets at a price that will earn them more money than the cost of food. the formula for this scenario is t = n (p − c) where t = total profit earned from the event c = cost of food per plate n = number of tickets sold p = price charged for each dinner rewrite the equation to determine the number of tickets they need to sell.

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 ?