也可能没有,这些人满足如下
条件,请确定最终选择哪些班级的学生:
1如果1班有人选中,则2班有人选中。2若5班有人选上则1班与2班均有人选上。35班与4班必有一班有被选中。43班与4班同时有人选上或同时没人选上。解:用O
e表示1班选了人,Two表示2班选了人,Three表示3班选了人,Four表示4班选了人,Five表示5班选了人。
则这4个条件依次为O
e→Two,Five→O
e∧Two,Four∨Five,ThreeFour满足这4个条件,即这4个条件的值均为真即为1,所以其合取为1O
e→Two∧Five→O
e∧Two∧Four∨Five∧ThreeFour1,将以上合取范式转换为主析取范式,因此双条件应转换为析
取式的合取式
原式O
e∨Two∧Five∨O
e∧Two∧Four∨Five∧Three∨Four∧Three∨FourO
e∨Two∧Five∨O
e∧Two∧Four∨Five∧Three∨Four∧Three∨FourO
e∧Five∨O
e∧O
e∧Two∨Two∧Five∨Two∧O
e∧Two∧Four∨Five∧Three∨Four∧Three∨FourO
e∧Five∨Two∧Five∨Two∧O
e∧Four∨
Five∧Three∨Four∧Three∨FourO
e∧Five∧Four∨Two∧Five∧Four∨Two∧O
e∧Four∨Two∧O
e∧Five∧Three∨Four∧Three∨FourO
e∧Five∧Four∧Three∨O
e∧Five∧Four∨Two∧Five∧Four∧Three∨Two∧Five∧Four∨Two∧O
e∧Four∧Three∨Two∧O
e∧Four∨Two∧O
e∧Five∧Three∨Two∧O
e∧Five∧Four∧Three∨FourO
e∧Five∧Four∧Three∨Two∧Five∧Four∧Three∨Two∧O
e∧Four∧Three∨Two∧O
e∧Five∧Three∧Four∨Two∧O
e∧Five∧Four∧ThreeO
e∧Three∧Four∧Five∨Two∧Three∧Four∧Five∨O
e∧Two∧Three∧Four∨O
e∧Two∧Three∧Four∧Five∨O
e∧Two∧Three∧Four∧Five
方案一方案二方案三方案四方案五
一班
无不限
有有有
二班
不限有有有有
三班
有有有无有
四班
有有有无有
五班
无无不限有有
条件1
满足满足满足满足满足
条件2
满足满足满足满足满足
条件3
满足满足满足满足满足
条件4
满足满足满足满足满足
1如果1班有人选中,则2班有人选中。2若5班有人选上则1班与2班均有人选上。35班与4班必有一班有被选中。43班与4班同时有人选上或同时没人选上。按照某位帅哥的质疑,经仔细思考,应该将其转换为主析取范式,所以最终结果为:O
e∧1∧Three∧Four∧Five∨
1∧Two∧Three∧Four∧Five∨O
e∧Two∧Three∧Four∧1∨O
e∧Two∧Three∧Four∧Five∨O
e∧Two∧Three∧Four∧FiveO
e∧r