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Standard XII

Mathematics

Union

A market rese...

Question

A market research group conducted a survey of $1000$ consumers and reported that $720$ consumers like product A and $420$ consumers like product B. Then, the least number of consumers that must have liked both the products is.

140

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180

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210

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190

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Solution

The correct option is A $140$
Total consumers $= 1000$
Like product $A = n (A) = 720$
Like product $B = n (B) 420$
$n (A \cap B)$ (Both the products) $= n (A) + n (B) - n (A \cup B)$
$= 720 + 420 - 1000$
$= 140$

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A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 420 consumers like product B. Then, the least number of consumers that must have liked both the products is.

The correct option is A 140Total consumers =1000Like product A=n(A)=720Like product B=n(B)420n(A∩B) (Both the products) =n(A)+n(B)−n(A∪B)=720+420−1000=140

A market research group conducted a survey of $1000$ consumers and reported that $720$ consumers like product A and $420$ consumers like product B. Then, the least number of consumers that must have liked both the products is.

The correct option is A $140$
Total consumers $= 1000$
Like product $A = n (A) = 720$
Like product $B = n (B) 420$
$n (A \cap B)$ (Both the products) $= n (A) + n (B) - n (A \cup B)$
$= 720 + 420 - 1000$
$= 140$