In a survey it was found that 21 persons like product a 26 like product b
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what does your question means and what we have to do in your question you have given a statement so what we have to do in your question
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I think this question os from RD Sharma Class 11 Sets...
So,Let me ans u.
............
Let A, B and C denote the set of people who like products A, B and C respectively.
Then it is given that 21 people like product A, i.e. n(A) = 21.
Similarly, we have n(B) = 26 and n(C) = 29.
Now, 14 people like both A and B, so this means n(A \cap B) = 14.
Similarly, n(C \cap A) = 12, n(B \cap C) = 14 and n(A \cap B \cap C) = 8.
The number of people who liked just product C is given by =
n(C) – n(C \cap A) – n(B \cap C) + n(A \cap B \cap C)
( you can also create venn diagram for the same, the formula will be clearer in that case)
= 29-12-14+8
= 11.
Hence,11 people liked only product C.
Thanks & Regards
In the above ans" /" represents intersection and cap B means capital B or B set..Alright...
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