Find the total number of ways of selection of 4 distinct red balls, 2 identical black balls, and 3 identical white balls.

Explanation

To solve the problem of finding the total number of ways to select 4 distinct red balls, 2 identical black balls, and 3 identical white balls, we can break it down step by step.

### Step 1: Understand the Selection of Red Balls
We have 4 distinct red balls (let's denote them as R1, R2, R3, R4). For each red ball, we have two choices: either to select it or not to select it. Therefore, for 4 distinct red balls, the total number of ways to choose them is given by:
\[ 2^4 \]
This is because each ball can either be included in the selection or excluded.
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