In a group of 9 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?
6
8
9
1
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 students (excluding the 1 from the specific grade).
Number of ways to select 1 student from
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
Now, let's calculate the value:
Therefore, there are 9 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.
Hence option 3 is correct.
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