Question

hundred of them 120 engineering students in a college take part in at least one of the activity group discussion debates and quiz. 65 participate in group discussion, 45 participate in debate,42 participate in quiz. 20 participate in debate and quiz find the number of students who participate in all three activities and exactly one activity

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

82 students participate in all three activities and 38 students participate in exactly one activity.

Step-by-step explanation:

From the above question,

They have given :

Let's denote the number of students who participate in all three activities as "A".

The number of students who participate in exactly one activity can be represented as "B".

We know that:

• 65 students participate in group discussion.
• 45 students participate in debate.
• 42 students participate in quiz.
• 20 students participate in both debate and quiz.

From the information above, we can find the number of students who participate in all three activities as follows:

            A = 65 + 45 + 42 - 2 * 20 = 122 - 40 = 82

To find the number of students who participate in exactly one activity, we need to subtract the number of students who participate in all three activities from the total number of students:

            B = 120 - 82 = 38

Therefore, 82 students participate in all three activities and 38 students participate in exactly one activity.

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