Question

4.n(A)=3.n(B)=2.n(A u B),n(A n B)=6

Answer 1

Step-by-step explanation:

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n(A)= 3

n(B)=2

n(A n B) = n(A)+n(B)-n(A u B)

n (A n B)= 3+2-6

n ( A n B) = - 1

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Answer 2

CORRECT QUESTION:

If n(A) = 3, n(B) = 2 and n(A n B) = 3, then find the value of n(A u B).

ANSWER:

n(A u B) = 2

GIVEN:

n(A) = 3

n(B) = 2

n(A n B) = 3

TO FIND:

n(A u B)

FORMULAE:

n(A u B) = n (A) + n(B) - n(A n B)

EXPLANATION:

n(A u B) = 3 + 2 - 3

n(A u B) = 2

SOME RELATED FORMULAE:

• $n(a \: \cup \: b \: \cup \: c) = n(a) + n(b) + n(c) - n(a \: \cap \: b) \\ - n(b \: \cap \: c) - n(c \: \cap \: a) + n( a \: \cap \: b \: \cap \: c)$

• $n(A') = n(U) - n(A)$

• $n(B') = n(U) - n(B)$

• $n(A - B) = n(A) - n(A\: \cap\:B)$

• $n(B - A) = n(B) - n(A\: \cap\:B)$

• n(U') = 0

SOME INTERSTING FACT RELATED TO MATH PARTICULARLY SETS:

• { } is an empty set otherwise denoted by ∅. The number of elements in it is zero.

• But { 0 } and { ∅ } are Singleton sets, because it has elements inside it.

• { 0 } has 0 as an element and { ∅ } has ∅ as an element.

• SINGLETON SET: A set containing only one element.

• Universal set is the set which contains all the remaining sets as its subset.

NOTE: Take n AS INTERSECTION, u AS UNION AND U AS UNIVERSAL SET.