In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
Text Solution
AI Generated Solution
To solve the problem step by step, we can use the principle of set theory. Let's denote:
- Let \( T \) be the set of students taking tea.
- Let \( C \) be the set of students taking coffee.
- Let \( U \) be the universal set of students surveyed.
Given data:
- Total number of students surveyed, \( |U| = 600 \)
...
Topper's Solved these Questions
SETS
NCERT|Exercise EXERCISE 1.3|1 Videos
SETS
NCERT|Exercise SOLVED EXAMPLES|4 Videos
RELATIONS AND FUNCTIONS
NCERT|Exercise EXERCISE 1.3|14 Videos
THREE DIMENSIONAL GEOMETRY
NCERT|Exercise QUESTION|1 Videos
Similar Questions
Explore conceptually related problems
In a survey of 600 students in a school, (i) 160 students were found to be taking tea , 215 taking coffee , 150 were taking both tea and cofee. (ii) 150 students were found to be taking tea and 225 taking coffee , 100 were taking both Tea and Coffee Find how many students were taking neither tea nor coffee.
In a survey conduced on 800 students of a school , 250 students were found to like tea and 300 like coffee , 150 like both tea and coffee .Find how many students like neither tea nor coffee ?
In a survey of 400 students in a school,100 were listed as taking apple juice,150 as taking orange juice and 75 were listed as taking both apple as well as orange juice.Find how many students were taking neither apple juice nor orange juice.
In a survey of 400 students in a school , 110 were listed as taking Apple Juice , 140 as taking Orange juice and 85 were listed as taking both Apple as well as Orange juice . Find how many students were taking neither Apple juice nor Orange juice.
In a survey of 400 students of a school, it is found that 100 students like apple juice, 150 like orange juice and 75 like both. Find how many students do like neither apple not orange juice ?
In a group of 100 persons 85 take tea 20 take coffee and 25 take tea and coffee . Number of persons who take neither tea nor coffee is
Out of 100 persons, 45 drink tea and 35 drink coffee, if 10 persons drink both, how many drink neither tea nor coffee?
In a hostel, there are 30 students, 9 of them take tea but not coffee. If 3 of them who take coeffee also start taking tea, 12 students would be taking both tea and coffee. How many students do not take tea ?