Step 1: Understand what quorum means here.
Quorum is simply the minimum head count that must be physically present for a Committee meeting under the Mines Act, 1952 to be considered validly held.
Step 2: Recall the exact wording of the rule.
Rule 8(5) of the Mines Rules, 1955 states that a quorum requires no fewer than three members present besides the Chairman, notice the phrase "besides the Chairman", which tells us the Chairman is counted separately from these three.
Step 3: Add up the total headcount.
So we need the Chairman plus three other members, that is $1 + 3 = 4$ people physically present in total for the meeting to proceed.
Step 4: Conclude.
Hence the quorum works out to 4 members, and this count includes the Chairman.
\[ \boxed{\text{4 Members including Chairmen}} \]