Answer :
Final answer:
The potential number of different committees of three persons that can be formed from seven individuals is calculated using the binomial coefficient formula, which yields 35 distinct ways.
Explanation:
The student's question seems to pertain to the formation of a committee from a given set of people and is related to combinatorial mathematics or probability. However, the question itself is not entirely clear as it appears to list conditions or options (A, B, C, D) without a specific query attached to them. Nevertheless, based on the provided context, it seems that the student may be asking how many different ways a committee of three persons can be formed from seven persons (labeled A, B, C, D, E, F, G).
The number of ways to form a committee of three from seven is given by the binomial coefficient, calculated as "7 choose 3". This can be computed using the formula:
C(n, k) = n! / (k! * (n-k)!)
where n is the total number of persons, k is the number of persons to choose for the committee, and ! denotes factorial. For our case:
C(7, 3) = 7! / (3! * (7 - 3)!) = (7 * 6 * 5) / (3 * 2 * 1) = 35
Therefore, there are 35 different ways to form a committee of three persons from a group of seven.
