A fisherman illegally introduces some fish into a lake, and they quickly begin to take over. The growth of the population of this new species is modeled by P(x)=a0(2)x where x is the time in weeks following the introduction of the species and a0 is the initial number of fish added to the lake. If the fisherman introduced 3 fish initially. How many fish are there after 4 weeks?
A. 162
B. 24
C. 48
D. 1,296

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 ?