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[News] Who's fourth in line? [Solved]

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Posted on 2018-07-24 12:51:24 | Show thread starter's posts only



Remember [Who's fourth in line?] from last week? The answer is Shaykh al-Jabal!
We'll explain why! First, a recap of the information given:
[Info] Al-Salatin, Tariq, Baibars, Alp Arslan, Shaykh al-Jabal, and Qalawun are standing in a queue.
We know that:
1) Baibars is standing somewhere ahead of Shaykh al-Jabal.
2) Al-Salatin is standing somewhere behind Qalawun.
3) Shaykh al-Jabal is not the fifth in line.
4) There are two people between Alp Arslan and Al-Salatin.
5) Tariq is standing right behind Shaykh al-Jabal.
[Problem-Solving Process]
☆ If Qalawun is standing somewhere behind of Shaykh al-Jabal, part of the order would be [Baibars, Shaykh al-Jabal, Tariq, Qalawun, and Al-Salatin]. This does not match conditions (4) and (5). Thus Qalawun is definitely standing somewhere ahead of Shaykh al-Jabal.
☆ Thus among Tariq, Baibars, Shaykh al-Jabal, and Qalawun, their order would be either [Baibars, Qalawun, Shaykh al-Jabal, Tariq] or [Qalawun, Baibars, Shaykh al-Jabal, Tariq].
☆ Since Shaykh al-Jabal is not the fifth according to condition (3), Al-Salatin and Alp Arslan can't be both ahead of him. They can't be both behind him either, as there are two people between them according to condition {4).
☆ Thus only the following orders are possible:
- [Baibars, Qalawun, Al-Salatin, Shaykh al-Jabal, Tariq, Alp Arslan]
- [Baibars, Qalawun, Alp Arslan, Shaykh al-Jabal, Tariq, Al-Salatin]
- [Qalawun, Baibars, Al-Salatin, Shaykh al-Jabal, Tariq, Alp Arslan]
- [Qalawun, Baibars, Alp Arslan, Shaykh al-Jabal, Tariq, Al-Salatin]
In all of these cases, Shaykh al-Jabal will always be the fourth in line.
#Conquerors #event

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