1. **Restate the problem:** We have three companies C1, C2, and C3 with members 4, 5, and 6 respectively. We want to select two persons from the same company to be president and vice president. 2. **Break down the problem:** We select 2 people *from the same company* and assign two different roles, president and vice president. The order matters since roles are different. 3. **Calculate for each company:** - For C1 (4 members): Number of ways to select and arrange 2 people is permutations $P(4,2) = 4 \times 3 = 12$. - For C2 (5 members): $P(5,2) = 5 \times 4 = 20$. - For C3 (6 members): $P(6,2) = 6 \times 5 = 30$. 4. **Total number of ways:** Add all cases since the two people must come from the same company: $$ 12 + 20 + 30 = 62 $$ 5. **Answer:** There are 62 ways to select president and vice president both from the same company.