Question

A= {a,b,c,d} B = { b,d,c,f} find AUB, A∩B, n(A), n(B), n(AUB), n(A∩B)

Answer 1

Given info:

A = { a,b,c,d }

B = {b,d,c,f}

Find the following :

1) AUB

2)AnB

3) n(A)

4) n(B)

5) n(AUB)

6) n(AnB)

Solution :-

Given sets are A = { a,b,c,d }

⇛ Number of elements in A = 4

⇛ n(A) = 4

B = {b,d,c,f}

⇛ Number be f elements in B = 4

⇛ n(B) = 4

AUB

⇛ {a,b,c,d} U { b,d,c,f}

⇛ {a,b,c,d,f}

AUB = {a,b,c,d,f}

⇛ Number of elements in AUB = 5

⇛ n(AUB) = 5

and

AnB = {a,b,c,d} n { b,d,c,f}

⇛ AnB = { b,c,d}

⇛ Number of elements in AnB = 2

⇛ n(AnB) = 2

Answer:-

1) AUB = {a,b,c,d,f}

2)AnB = { b,c,d}

3) n(A) = 4

4) n(B) = 4

5) n(AUB) = 5

6) n(AnB) = 3