The powerball lottery is decided every wednesday and saturday night by drawing five white balls out of a drum with 69 balls and one red ball out of a drum with 26 red balls. the powerball jackpot is won by matching all five white balls in any order and the red powerball. each ticket costs $2. a ticket is defined as a set of five white and 1 red number. a. [2 pts] how many possible different powerball tickets can be purchased? b. [1 pts] how many possible different winning powerball tickets are there?

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 ?