Advertisements
Advertisements
Question
In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find the number of students who take part in only drama
Advertisements
Solution
Let M be the set of all students take part in music.
Let D be the set of all students take part in drama.
n(M) = 25, n(D) = 30 and n(M ∩ D) = 8
By using Venn-diagram
From the Venn-diagram we get.
Number of students take part in only drama = 22
APPEARS IN
RELATED QUESTIONS
State, whether the pair of sets, given below, are equal sets or equivalent sets:
{2, 4, 6, 8, 10} and {a, b, d, e, m}
Write the cardinal number of the following set:
A = {0, 1, 2, 4}
Write the cardinal number of the following set:
D= {3, 2, 2, 1, 3, 1, 2}
Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
Find: n(C ∩ D)
If n(A) = 300, n(A ∪ B) = 500, n(A ∩ B) = 50 and n(B’) = 350, find n(B) and n(U)
Verify n(A ∪ B ∪ C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(A ∩ C) + n(A ∩ B ∩ C) for the following sets
A = {1, 3, 5}, B = {2, 3, 5, 6}, C = {1, 5, 6, 7}
In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in both the subjects. Find the total number of students who appeared in the examination, if they took examination in only two subjects
A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280 grew corn, 120 grew paddy and ragi, 100 grew ragi and corn, 80 grew paddy and corn. If each farmer grew atleast anyone of the above three, then find the number of farmers who grew all the three.
In a city, 40% people like only one fruit, 35% people like only two fruits, 20% people like all the three fruits. How many percentage of people do not like any one of the above three fruits?
What is the cardinality of an infinite set?
