State if True or False.The number of elements in each of universal set , set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by n(U) - n(A U B)

n(A^I U B^I)

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

n(A ∩ B)^I

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

Open in App

Solution

The correct option is A
n(A^I U B^I)

True.
No of elements not in set A and not in set B is represented in set notation as A^I ∩ B^I.

So, n(A^I ∩ B^I) = n(A U B)^I

= n(U) - n(A U B)

Suggest Corrections

Similar questions

If the number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively, then the number of elements that are not in set A and not in set B is given by ___.

If the number of elements in each of universal set, set A and set B are represented as $n (U)$ , $n (A)$ , $n (B)$ respectively, then the number of elements that are not in set A and not in set B is given by ___.

The cardinality of a universal set, set A and set B are represented as n(U), n(A), n(B) respectively. Find the cardinality of the set which does not contain elements of set A and set B.

For universal set $\cup$ , and sets A, B which are subsets of $\cup$ , the following information is given

n(U) = 47

n(A) = 18

n(B) = 11, n(A $\cap$ B) = 10

Then, the number of elements that are neither in A nor B is_____

___

For universal set U, and sets A, B which are subsets of U, the following information is given

n(U) = 47

n(A) = 18

n(B) = 11, n(A ∩ B) = 10

Then, the number of elements that are neither in A nor in B is__

Join BYJU'S Learning Program

State if True or False.The number of elements in each of universal set , set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by n(U) - n(A U B)

The correct option is A n(AI U BI) True. No of elements not in set A and not in set B is represented in set notation as AI ∩ BI. So, n(AI ∩ BI) = n(A U B)I = n(U) - n(A U B)

The correct option is A
n(A^I U B^I)

True.
No of elements not in set A and not in set B is represented in set notation as A^I ∩ B^I.

So, n(A^I ∩ B^I) = n(A U B)^I

= n(U) - n(A U B)