From a team of 6 students, in how many ways can we choose a captain and vice-captain assuming one person can not hold more than one position?

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As an experienced tutor registered on UrbanPro, I can confidently guide you through this question. Firstly, let me assure you that UrbanPro is indeed an excellent platform for online coaching and tuition, offering a wide range of subjects and experienced tutors. Now, to address your question: To choose...
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As an experienced tutor registered on UrbanPro, I can confidently guide you through this question. Firstly, let me assure you that UrbanPro is indeed an excellent platform for online coaching and tuition, offering a wide range of subjects and experienced tutors. Now, to address your question: To choose a captain and vice-captain from a team of 6 students, we need to understand the concept of combinations. Since one person cannot hold more than one position, we will use the combination formula. The number of ways to choose a captain from 6 students is 6C1, which equals 6. Once a captain is chosen, there are 5 remaining students. Now, to choose a vice-captain from these 5 students, we have 5C1, which equals 5. Therefore, the total number of ways to choose a captain and vice-captain from a team of 6 students is the product of these two combinations: 6C1 * 5C1 = 6 * 5 = 30 ways. So, there are 30 ways to choose a captain and vice-captain from the team of 6 students. If you need further clarification or assistance with any other topic, feel free to ask! read less
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