If P = { 1, 2, 3, 5 ,7 } & Q = {1 , 3, 6, 10, 15 } then , n (P U Q) = ?
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n (P ∪ Q) = 8
Given :
P = { 1 , 2 , 3 , 5 , 7 } & Q = { 1 , 3 , 6 , 10 , 15 }
To find :
The value of n (P ∪ Q)
Solution :
Step 1 of 3 :
Write down the given sets
The given sets are
P = { 1, 2, 3, 5 ,7 }
Q = {1 , 3, 6, 10, 15 }
Step 2 of 3 :
Find the set P ∪ Q
P ∪ Q
= { x : x ∈ P ∨ x ∈ Q }
= { 1 , 2 , 3 , 5 , 6 , 7 , 10 , 15 }
Step 3 of 3 :
Find n (P ∪ Q)
Hence n (P ∪ Q)
= Number of elements in P ∪ Q
= 8
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