Find the number of groups that can be made from 5 different green balls, 4 different blue balls and 3 different red balls, if atleast 1 green and 1 blue ball is to be included.

Explanation

To solve the problem of finding the number of groups that can be formed from 5 different green balls, 4 different blue balls, and 3 different red balls, with the condition that at least 1 green and 1 blue ball must be included, we can break it down into several steps.

### Step 1: Calculate the number of ways to choose green balls.
Since we need to select at least 1 green ball from the 5 available, we can choose from 1 to 5 green balls. The total number of ways to choose at least 1 green ball can be calculated as follows:

\[ \text{Total ways to choose green balls} = 2^5 - 1 \]
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