0 votes 0 votes There are 100 students. 85 choose Math, 80 choose Physics, 75 choose Chemistry, 70 choose Biology. What is the minimum number of students choosing all 4 subjects? Assume each student chosen at least one subject? Combinatory combinatory + – aditi19 asked Aug 16, 2018 aditi19 1.5k views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply arvin commented Aug 16, 2018 reply Follow Share 10... 0 votes 0 votes aditi19 commented Aug 16, 2018 reply Follow Share method? 0 votes 0 votes Shaik Masthan commented Aug 16, 2018 reply Follow Share ( M ∩ P ∩ C ∩ B ) = ( ( M ∩ P ∩ C ∩ B )' )' = ( M' ∪ P' ∪ C' ∪ B' )' = 100 - ( M' ∪ P' ∪ C' ∪ B' ) M' = 100 - M =100 - 85 = 15 P' = 100 - P =100 - 80 = 20 C' = 100 - C =100 - 75 = 25 B' = 100 - B =100 - 70 = 30 ( M ∩ P ∩ C ∩ B ) = 100 - ( M' ∪ P' ∪ C' ∪ B' ) = 100 - ( 15+20+25+30 ) = 100 - 90 = 10 4 votes 4 votes smsubham commented Aug 16, 2018 reply Follow Share See this: https://www.geeksforgeeks.org/gate-gate-cs-mock-2018-question-10/ 0 votes 0 votes Please log in or register to add a comment.
