If A- B- C and D be four sets such that A - 2- 4- 6- 8- 10- 12- B - 3- 6- 9- 12- 15- C - 1- 4- 7- 10- 13- 16 and D - x-x- then the number of elements in -A- B- C- D is

Given: A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}, C = {1, 4, 7, 10, 13, 16} and nbsp; D = {x:x∈ℕ} (A∪ B) = {2, 3, 4, 6, 8, 9, 10, 12, 15} (A∪ B)∪ C nb ...

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Standard XIII

Mathematics

Intersection

If A, B, C an...

Question

If $A, B, C$ and $D$ be four sets such that $A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}$ , $C = {1, 4, 7, 10, 13, 16}$ and $D = {x : x \in N}$ , then the number of elements in $[(A \cup B) \cup C] \cap D$ is

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Solution

Given:
$A = {2, 4, 6, 8, 10, 12}$ ,
$B = {3, 6, 9, 12, 15}$ ,
$C = {1, 4, 7, 10, 13, 16}$ and
$D = {x : x \in N}$
$(A \cup B) = {2, 3, 4, 6, 8, 9, 10, 12, 15}$
$(A \cup B) \cup C = {1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 15, 16}$
$[(A \cup B) \cup C] \cap D = {1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 15, 16}$
Number of elememts $= 13$

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If A,B,C and D be four sets such that A={2,4,6,8,10,12},B={3,6,9,12,15}, C={1,4,7,10,13,16} and D={x:x∈N}, then the number of elements in [(A∪B)∪C]∩D is

Given: A={2,4,6,8,10,12}, B={3,6,9,12,15}, C={1,4,7,10,13,16} and D={x:x∈N} (A∪B)={2,3,4,6,8,9,10,12,15} (A∪B)∪C={1,2,3,4,6,7,8,9,10,12,13,15,16} [(A∪B)∪C]∩D={1,2,3,4,6,7,8,9,10,12,13,15,16} Number of elememts =13

If $A, B, C$ and $D$ be four sets such that $A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}$ , $C = {1, 4, 7, 10, 13, 16}$ and $D = {x : x \in N}$ , then the number of elements in $[(A \cup B) \cup C] \cap D$ is