Question

if A and B are two finite disjoint sets such that n(AUB) =475,n(A) =435.Find n(B).​

Answer 1

Hope it helps you!!!!!!

As a and b are disjoint sets, they have no elements in common. Thus,

n(a∪b)=n(a)+n(b)

n(b)=n(a∪b)−n(a)=475−435=40

PLEASE MARK AS BRAINLIEST!!!!

Answer 2

If A and B are two finite disjoint sets such that n(AUB) = 475 and n(A) = 435, then n(B) is found to be equal to 40.

Step-by-step Explanation:

Given:

A and B are two finite disjoint sets and  $n(A)=475$

Also, $n(A\cup B)=475$

To be found: To find the value of $n(B)$

Formula Used: For the union of two sets, the formula used is given as,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$    ----------(1)

Here, we have two finite disjoint sets, A and B

$\implies n(A\cap B)=0$

So, the formula (1) becomes,

$n(A\cup B)= n(A)+n(B)$

Substituting the values in the equation, we get'

$475=435+n(B)$

Rearranging the equation for n(B), we get

$n(B)=475-435\\\implies n(B)=40$

Therefore, for the given two finite disjoint sets A and B having n(AUB) = 475 and n(A) = 435, the value of n(B) is equal to 40.

#SPJ3