Read the following information carefully and answer the questions that follow.
A school comprising of 300 students has a rule of extracurricular activities, of which at least one is compulsory. However, a student can opt for more than one activity if they want. There are 3 types of extracurricular activities that the school offer- Art, Music, and Sports. 175 students opted for Art, 180 for Music and 130 for Sports.
Find the maximum number of students who opted for all the three activities.
Find the minimum number of students who opted for exactly one activity.
Find the maximum number of students who opted for exactly two out of three activities.
For the following questions answer them individually
In a neighbourhood consisting of 150 people, 66 drink tea, 45 drink coffee and 42 drink ice-tea. 27 people drink exactly 2 of the 3 beverages. 3 people drink all 3 beverages. How many people in the neighbourhood drink none of the three beverages?
The total number of families in a town is 2500. The number of families who own a TV is 1650 and the number of families who own a radio is 1500. Let N represent the number of families who own both. What is the difference between the maximum and minimum values of N?