Question
How many different professional committees of 8 people can be formed, each containing at least 4 Managers, at least 2 Public Servants and 2 IT Professionals from a list of 8 Managers, 6 Public Servants and 8 IT Professionals?
Answer :
Word Count : 164
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To form a committee of 8 people with at least 4 Managers, at least 2 Public Servants, and exactly 2 IT Professionals, we consider all possible combinations that satisfy the conditions. Let the number of Managers be (M), Public Servants (P), and IT Professionals (I). The total must be (M + P + I = 8), with (M \ge 4), (P \ge 2), and
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