taiwan-gsat 2022 Q17

taiwan-gsat · Other · gsat__math-b 5 marks Permutations & Arrangements Linear Arrangement with Constraints
There are six students (three female and three male) who frequently interact with a teacher at school. After graduation, the teacher invites them to a gathering. After the meal, seven people stand in a row for a commemorative photo. It is known that among the students, one female and one male had an unpleasant experience and do not want to stand adjacent during the photo, while the teacher stands in the middle and the three male students do not all stand on the same side of the teacher. The total number of possible arrangements is (17--1)(17--2)(17--3).
There are six students (three female and three male) who frequently interact with a teacher at school. After graduation, the teacher invites them to a gathering. After the meal, seven people stand in a row for a commemorative photo. It is known that among the students, one female and one male had an unpleasant experience and do not want to stand adjacent during the photo, while the teacher stands in the middle and the three male students do not all stand on the same side of the teacher. The total number of possible arrangements is (17--1)(17--2)(17--3).