During the college registration, 442 students registered for Computing, 187 registered for Business, and 234 registered for Mathematics. What is the greatest possible total number of different students who could have registered for these courses, if known that only 96 registered for both Computing and Mathematics?
2007-11-05 05:03:17 · 2 answers · asked by h0pefree 1 in Science & Mathematics ➔ Mathematics
The greatest number would result if any student who registered for Business registered neither for Computing nor for Mathematics. We're told that 96 registered for both Computing and Math, so the greatest possible number would be
442 + 187 + 234 - 96 = 767
The Venn diagram would have no intersection between the Business set and the Computing set, no intersection between the Business set and the Mathematics set, and 96 in the intersection of the Computing and Mathematics sets.
2007-11-05 05:57:29 · answer #1 · answered by Ron W 7 · 0⤊ 0⤋
enable B = pupils who consume breakfast L = pupils who consume lunch D = pupils who consume dinner while drafting the Venn diagram, draw the three circles first then initiate with B?L?D = fifty 8 Then sparkling up for the form of scholars who ate 2 food B?L = B&L (the given) - B?L?D B?L = sixty 8 - fifty 8 B?L = 10 B?D = B&D - B?L?D B?D = 112 - fifty 8 B?D = fifty 4 L?D = L&D - B?L?D L?D = ninety - fifty 8 L?D = 32 Then sparkling up for the form of scholars who ate in basic terms as quickly as B = Ba (given) - B?L - B?D - B?L?D B = a hundred thirty - 10 - fifty 4 - fifty 8 B = 8 L = l. a. - B?L - L?D - B?L?D L = one hundred eighty - 10 - 32 - fifty 8 L = eighty D = Da - B?D - L?D - B?L?D D = 275 - fifty 4 - 32 - fifty 8 D = 131 what proportion pupils did no longer consume? the great form of scholars weren't given. you are able to't attainable sparkling up this one what proportion pupils ate in basic terms lunch? L = eighty what proportion pupils ate in basic terms dinner? D = 131 what proportion pupils in basic terms ate breakfast? B = 8 what proportion pupils ate all 3 food? B?L?D = fifty 8 (it extremely is a given) how a lot of people have been surveyed? ... complete = B?L?D + B?L + B?D + L?D + B + L + D complete = fifty 8 + 10 + fifty 4 + 32 + 8 + eighty + 131 complete = 373
2016-10-15 03:09:37 · answer #2 · answered by mcclune 4 · 0⤊ 0⤋