Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let U be set with number of elements in it is 2009 and A, B are subsets of U with n (A ∪ B) = 280. If n(A ′ ∩ B ′ ) = 
+ 
= 
+ 
for some positive integers x 1 , x 2 , y 1 , y 2 then find the value of
(x 1 + x 2 + y 1 + y 2 ).
Text Solution
Verified by ExpertsThe correct answer is:
32
(32)
Sol. n(A ∪ B) = 280
Now n(A' ∩ B') = n(A ∪ B)' = 2009 – n(A ∪ B) = 2009 – 280 = 1729 = 12 3 + 1 3 = 10 3 + 9 3
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