Geometry

Question Analysis
This question involves a two - step process of first selecting a subset of students and then arranging them for different tasks.
The main focus is on using the permutation formula to solve the problem, as the order of assignment of tasks to the students matters.

Key Concept Explanation
The permutation formula is used to find the number of ways to select and arrange objects out of distinct objects.
Here, we are essentially finding the number of permutations of 4 students out of 8 for the task assignments.

Step - by - Step Solution
Identify the values of and :
Here, (the total number of students in the club) and (the number of students to be selected and assigned tasks).
Apply the permutation formula:
.
Calculate the factorial values:

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