Question

If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is ?

Answer 1

Solution:-

Given

=> n(A) = 20

=> n(B)=30

=> n(A U B) = 40

To find

=> n(A ∩ B)

Using the identity

=> n(A U B) = n(A) + n(B) - n(A ∩ B)

Put the value

=> 40 = 20 + 30 - n(A ∩ B)

=> 40 = 50 - n(A ∩ B)

=> 40 - 50 = -n(A ∩ B)

=> -10 = - n(A ∩ B)

=> n(A ∩ B) = 10

Answer:-

n(A ∩ B) = 10

More information about

=> Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet:

Answer 2

Answer:

If n(A) = 20 and n(B) = 30 and n(A U B) = 40 then n(A ∩ B) is? *