3a \o Tenod a) 7 (mod 2) A-2-2. (10 marks} For each of the following, determine the generating series of the set with respect to the weight function. Simplify your expression. (a) Set: No = {0, 1, 2, 3, ...}. Weight function: a=0 (mod 2) w(a) = a +1 a=1 (mod 4) 2a +3 a=3 (mod 4) (b) Set: S = {1,2,3,4} {1,..., 2020} * No. Weight function: w((a,b,c)) = 3a + 2b + 5c. (c) Set: Multisets (m1, ..., mt) with t types. Weight function: w((mi, n1,..., mt)) + - mi 2mi (d) Set: Multisets (m1,..., Mt) with t types. Weight function: w((m1,..., mt)) - ai, i=1 where ai = { 2mi mi = 0 (mod 2) (mod 2) mil 3a \o Tenod a) 7 (mod 2) A-2-2. (10 marks} For each of the following, determine the generating series of the set with respect to the weight function. Simplify your expression. (a) Set: No = {0, 1, 2, 3, ...}. Weight function: a=0 (mod 2) w(a) = a +1 a=1 (mod 4) 2a +3 a=3 (mod 4) (b) Set: S = {1,2,3,4} {1,..., 2020} * No. Weight function: w((a,b,c)) = 3a + 2b + 5c. (c) Set: Multisets (m1, ..., mt) with t types. Weight function: w((mi, n1,..., mt)) + - mi 2mi (d) Set: Multisets (m1,..., Mt) with t types. Weight function: w((m1,..., mt)) - ai, i=1 where ai = { 2mi mi = 0 (mod 2) (mod 2) mil