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Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct? |
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Answer» Number of elements in universal set`(n(AuuB)) = 500` Number of elements in first set`(n(A)) = 400` Number of elements in first set`(n(B)) = 200` Number of elements in both sets`(n(AnnB)) = 50` Now, we know, `n(AuuB) = n(A) + n(B) - n(AnnB)` `n(AuuB) = 400+200-50 = 550` But, we are given, `n(AuuB) = 500`. So, the data given is incorrect. |
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