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21 Jul 2023, 22:34
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Q-In a school, the students are fans of one or more of the four actors- A,B,C and D.The four actors given in the above order are liked by 230,180,180 and 220 students respectively.The no. of students who like exactly 2 actors for any two actors is 20(for each two).There are 30 students who like all the four actors but there is nobody who likes exactly three out of four actors
-How many students are there in school?
ANS-N(AUBUCUD) = N(A) + N(B) + N(C) + N(D) - N(AnB) - N(AnC) - N(AnD) - N(BnC) - N(BnD) - N(CnD) + N(AnBnC) + N(AnBnD) + N(AnCnD) + N(BnCnD) - N(AnBnCnD)= 180+180+220+230+120-30=660
But answer is supposed to be 600.
Answer is correct when I do it using a Venn diagram.
-How many students are there in school?
ANS-N(AUBUCUD) = N(A) + N(B) + N(C) + N(D) - N(AnB) - N(AnC) - N(AnD) - N(BnC) - N(BnD) - N(CnD) + N(AnBnC) + N(AnBnD) + N(AnCnD) + N(BnCnD) - N(AnBnCnD)= 180+180+220+230+120-30=660
But answer is supposed to be 600.
Answer is correct when I do it using a Venn diagram.
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