Only Answer B and C please

We wish to design count-to-2 and count-to-3 circuit with four inputs. Given four inputs, A, B, C, D, and two outputs C2, C3. Output C2 is "1" if and only if two of the four inputs are logic high and two of the four inputs are logic low (e.g. A = 1; B = 0; C = 0; D = 1). Output C3 is "1" if and only if three of the four inputs are "1" similar to C2. You may share gates between the C2 and C3 logic circuits to minimize total gate count for (c) a) write the truth table for C2 and C3 b) draw the circuit using ANDs, ORs, and INVs (no NAND/NOR/XOR/XNOR). c) can you reduce the number of gates by using NAND/NOR/XOR/XNOR gates as well? If so, draw the circuit