Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>The number of possible permutations of x elements from a set of n elements is given by:
In this problem:
- For president and vice-president, 2 students are chosen from a set of 6.
- For secretary and treasurer, 2 students are chosen from a set of 5.
Hence:
There can be 600 winning combinations.
More can be learned about the permutation formula at brainly.com/question/25925367