From a group containing 4 men, 6 women, and 5 children, in how many different ways can you choose 3 men, 2 women, and 3 children?

Explanation

To find the total number of ways to select 3 men, 2 women, and 3 children, we calculate the combinations separately and then multiply them: Number of ways to choose men = ⁴C₃ = 4 Number of ways to choose women = ⁶C₂ = 15 Number of ways to choose children = ⁵C₃ = 10 Total ways = 4 × 15 × 10 = 600 ways.