Advertisements
Advertisements
Question
Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(A ∩ B).
Solution
n(A) = 30, n(B) = 27 and n(A ∪ B) = 45
We know that,
n(A ∩ B) = n( A) + n(B) – n( A∪ B)
n(A ∩ B) = 30 + 27 – 45
n(A ∩ B) = 57 – 45 = 12
APPEARS IN
RELATED QUESTIONS
Write the cardinal number of the following set:
D = Set of letters in the word “PANIPAT”.
Write the cardinal number of the following set:
E = Set of prime numbers between 5 and 15
The set, given below, state whether it is finite set, infinite set or the null set:
{natural numbers more than 100}
The set, given below, state whether it is finite set, infinite set or the null set:
Set of mountains in the world.
Fill in the blank:
If each element of set P is also an element of set Q, then P is said to be _____ of Q and Q is said to be of P.
Fill in the blank:
Every set is a _____ of itself.
If A = {x: x is natural number divisible by 2 and x< 16} and
B = {x:x is a whole number divisible by 3 and x < 18}, find: A ∩ B and n (A ∩ B).
Let A and B be two sets such that n(A) = 45, n(B) = 38 and n(A ∪B) = 70, find: n(B – A)
Let n(A) = 31, n(B) = 20 and n(A ∩ B) = 6, find: n (A - B).
Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(A ∪B)