Question
If n(A) = 7, n(B) = 13, n(A ∩ B) = 4, then n(A ∪ B) = ?
✓
Answer
n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
= 7 + 13 – 4
n(A ∪ B) = 16
= 7 + 13 – 4
n(A ∪ B) = 16
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the figure given below, state which lines are parallel and why?
If M is any set, then write M ∪Φ and M ∩ Φ.
If x = 3 and y = 4 is a solution of the equation 5x - 3y = k, find the value of k.
If the radius of a solid hemisphere is 5 cm , then find its curved surface area and total surface area, ( $\pi=3.14$ )
Given: Radius $(r)=5 cm$
To find: Curved surface area and total surface area of hemisphere
→Given: Radius $(r)=5 cm$
To find: Curved surface area and total surface area of hemisphere
Construct the angles of the following measurements:
75°
75°
In the adjoining figure, AOB is a straight line. Find the value of x.
Simplify the following expressions:
$(x+y-2 z)^2-x^2-y^2-3 z^2+4 x y$
→$(x+y-2 z)^2-x^2-y^2-3 z^2+4 x y$
Rewrite the following polynomial in standard form.
$x-2 x^2+8+5 x^3$
→$x-2 x^2+8+5 x^3$
In the following, use factor theorem to find whether polynomial $g(x)$ is a factor of polynomial $f(x)$ or, not:
$f(x)=x^5+3 x^4-x^3-3 x^2+5 x+15, g(x)=x+3$
→$f(x)=x^5+3 x^4-x^3-3 x^2+5 x+15, g(x)=x+3$
In a ‘tree plantation’ project of a certain school there are 45 students of ‘Harit Sena.’ The record of trees planted by each student is given below:
3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5 ,7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.
Prepare a frequency distribution table of the data.
3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5 ,7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.
Prepare a frequency distribution table of the data.