You visited us 4 times! Enjoying our articles? Unlock Full Access!

Universal Set

Let U be the ...

Question

Let U be the universal set containing 700 elements . if A,B are sub-sets of U such that n (A) =200,n (B) = 300 and n $(A \cap B) = 100, n (A \cup B) =$

400

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

600

No worries! We‘ve got your back. Try BYJU‘S free classes today!

300

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 400
Given, It should be $n (A \cup B)$

$n (A) = 200$ $n (B) = 300$ $n (A \cap B) = 100$

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

$n (A \cap B) = 200 + 300 - 100$

$= 500 - 100$

$= 400$

Suggest Corrections

Similar questions

Q. Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that

n (A) = 200, n (B) = 300 and (A \cap B) = 100

. Then

n (A' \cap B') =

(a) 400
(b) 600
(c) 300
(d) none of these.

Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that n (A) = 200, n(B) =300 and $n (A \cap B)$ = 100. Then , $n (A^{'} \cap B^{'}) =$

Q. If

A

and

B

are two sets and

U

is the universal set such that

n (U) = 700, n (A) = 200, n (B) = 300

and

n (A \cap B) = 100

, find

n (A^{'} \cap B^{'})

A

and

B

are the two subsets of Universal Set

U

such that

n (U) = 700, n (A) = 200, n (B) = 300

and

n (A \cap B) = 100

. Find

n (A^{'} \cap B^{'})

Q. If A and B are two sets and U is the universal set such that n (U) = 700, n(A) = 200, n(B) = 300 and

n (A \cap B) = 100,

then what is the value of

(A^{'} \cap B^{'})

Join BYJU'S Learning Program

Let U be the universal set containing 700 elements . if A,B are sub-sets of U such that n (A) =200,n (B) = 300 and n (A∩B)=100,n(A∪B)=

The correct option is A 400Given, It should be n(A∪B)n(A)=200 n(B)=300 n(A∩B)=100Then n(A∪B)=n(A)+n(B)−n(A∩B)n(A∩B)=200+300−100=500−100=400

Let U be the universal set containing 700 elements . if A,B are sub-sets of U such that n (A) =200,n (B) = 300 and n $(A \cap B) = 100, n (A \cup B) =$

The correct option is A 400
Given, It should be $n (A \cup B)$

$n (A) = 200$ $n (B) = 300$ $n (A \cap B) = 100$

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

$n (A \cap B) = 200 + 300 - 100$

$= 500 - 100$

$= 400$