Question

formulaes of the chapter sets in 10th class

Answer 1

Consider A,B and C are the sets, then

1.


A∪A=A

2.


A∩A=A

are called Idempotent Laws.

3.


A∪B=B∪A

4.


A∩B=B∩A

are called Commutative Laws.

5.

(A∪B)∪C=A∪(B∪C)

6.


(A∪B)∪C=A∪(B∪C)
are called Associative



7.
A∪(B∩C)=(A∪B)∩(A∪C)
8.


A∩(B∪C)=(A∩B)∪(A∩C)
are called Distributive Laws

9.

(A∪B)C=AC∩BC

10.


(A∩B)C=AC∪BC

are called De-Morgan’s Laws.

11.


A−(B∪C)=(A−B)∩(A−C)

12.


A−(B∩C)=(A−B)∪(A−C)

13.


A−(B∪C)=A∩(B∪C)C

14.


A∩(B−C)=(A∩B)?C



15.


AΔB=(A−B)∪(B−A)

is called Symmetric Difference.
16.

A×(B∪C)=(A×B)∪(A×C)
17.


A×(B∩C)=(A×B)∩(A×C)

18.

A×(B-C)=(A×B)-(A×C)

the union is for U symbol and it denotes to write all number from the given numbers.

the intersection symbol is reversing of U it denotes to write only common numbers from the given sets.

I think it will help u ☺.

Answer 2

${\tt{\red{\underline{\underline{\huge{ANSWER}}}}}}$

n(AᑌB)=n(A) + n(B) -nAᑎB)

n(AᑎB)=n(A) + n(B) - n(AᑌB)

n(U)=n(Aᑌᗷ)+(n(U) - n(AᑌB)

n(A)=n(A) - n(AᑎB)

n(B)=n(B) - n(AᑎB)

$\huge\boxed{\fcolorbox{red}{red}{Thank \: You}..}$