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  • In a group of 8 students, how many different ways can you select a team of 2 students to participate in a quiz if at least 1 of them must be from a specific grade?  <div class='qna-

In a group of 8 students, how many different ways can you select a team of 2 students to participate in a quiz if at least 1 of them must be from a specific grade?
 

Option: 1

9


Option: 2

8


Option: 3

1


Option: 4

7


Answers (1)

best_answer

To solve this problem, we'll consider two cases: when exactly 1 student is chosen from the specific grade and when both students are chosen from the specific grade.

Case 1: Exactly 1 student from the specific grade is chosen.
In this case, we need to select the remaining 1 student from the remaining 8-1=7 students (excluding the 1 from the specific grade).

Number of ways to select 1 student from 7=7 C1

Case 2: Both students are chosen from the specific grade.

There is only 1 way to select both students from the specific grade.

To calculate the total number of ways to form the team, we need to sum up the possibilities from both cases:

Total number of ways = Number of ways in Case 1+ Number of ways in Case 2

Total number of ways =7 C1+1

Now, let's calculate the value:

Total number of ways =7+1=8

Therefore, there are 8 different ways to select a team of 2 students to participate in the quiz, where at least 1 of them must be from a specific grade.

Posted by

Devendra Khairwa

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