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__

Open in App

Solution

n(A^I ∩ B^I) = n(A U B)^I= n(U) - n(A U B)

= n(U) - [n(A) + n(B) - n(A∩B)]

= 47 - [18 + 11 - 10]

= 47 - 19

= 28

Suggest Corrections

Similar questions

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 neither in A nor B are __

The following information is given sets A, B which are subsets of universal set U.

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 ____

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

$n (U) = 47,$

$n (A) = 18,$

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

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

Number of elements in each of the 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

Join BYJU'S Learning Program

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__

n(AI ∩ BI) = n(A U B)I = n(U) - n(A U B) = n(U) - [n(A) + n(B) - n(A∩B)] = 47 - [18 + 11 - 10] = 47 - 19 = 28

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__

n(A^I ∩ B^I) = n(A U B)^I= n(U) - n(A U B)

= n(U) - [n(A) + n(B) - n(A∩B)]

= 47 - [18 + 11 - 10]

= 47 - 19

= 28