There are four bags. The first bag contains 10 identical red balls, the second bag contains 4 identical black balls, the third contains 2 identical green balls and the last bag contain 6 identical blue balls. In how may ways 6 balls can be selected if at least one ball of each colour is selected. A) 9 B) 12 C) 15 D) 18

Options

A. 9
B. 12
C. 15
D. 18

Explanation

To solve the problem of selecting 6 balls from 4 bags with the condition that at least one ball of each color is selected, we can break down the solution step by step.

### Step-by-Step Solution:

1. **Identify the Contents of Each Bag:**
- Bag 1: 10 identical red balls
- Bag 2: 4 identical black balls
- Bag 3: 2 identical green balls
...