Advertisements
Advertisements
Question
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: A ∩ C AND n(A ∩ C)
Solution
Here,
A= {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {P, U, E, T}
C = {0, 1, 4, 9}
D = { } or Φ
A ∩ C = {1, 4, 9}
n(A ∩ C) = 3
APPEARS IN
RELATED QUESTIONS
State, whether the pair of sets, given below, are equal sets or equivalent sets:
{8, 6, 10, 12} and {3, 2, 4, 6}
Write the cardinal number of the following set:
E = {16, 17, 18 19}
Write the cardinal number of the following set:
F = {Whole numbers from 8 to 14}
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(A ∪ D)
State true or false for the following. Correct the wrong statement.
If A = {0}, then n(A) = 0
State true or false for the following. Correct the wrong statement.
If B = {1, 5, 51, 15, 5, 1}, then n(B) = 6.
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 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 music
In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who do not like coffee
In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x, y and z