Question

Let A = {1, 2, 3, 4, 5}   B = {1, 3, 5}     C = {4, 6}. Find

n(A)  ,n(B)  ,n(A ⋃ C)   and n(A ⋂ C)7​

Answer 1

Answer:

n(A) = {1,2,3,4,5}

n(B) = {1,3,5}

n(A U C) = {1,2,3,4,5,6}

n(A intersection C) = {1,2,3,5}

Answer 2

Solution:

• For finding n(A):

n(A) represents the number of terms present in set A.

Here, in set A there are 5 terms.

So n(A) = 5

• For finding n(B):

n(B) represents the number of terms in set B.

There are 3 terms in B.

So, n(B) = 3

• For finding n(A U C):

n(A U C) represents the number of terms in (A U C).

A U C is the set which includes all terms of A and C but the elements should not be repeated.

A U C = {1, 2, 3, 4, 5, 6}

There are 6 terms.

So, n (A U C) = 6

• For finding n(A ⋂ C):

A ⋂ C includes terms which are present both in A and C.

A ⋂ C = {4}

Here A ⋂ C contains only 1 element.

So, n(A ⋂ C) = 1