3. Eight different people want to interview for the Defense Against the Dark Arts professorship at Hogwarts: Severus Snape, Tom Riddle, Remus Lupin, Dolores Umbridge, Mad-Eye Moody, Quirinus Quirrell, Barty Crouch, and Gilderoy Lockhart. Albus Dumbledore needs to interview the candidates. How many possible orders are there in which Dumbledore can interview the candidates if all of the following conditions must be simultaneously true? Snape must be interviewed before Riddle, Dolores Umbridge is interviewed last, • Crouch and Moody must be interviewed at the same time in a joint interview, AND • Lupin and Lockhart are interviewed consecutively (although we do not know which of the two is interviewed first)
3. Eight different people want to interview for the Defense Against the Dark Arts professorship at Hogwarts: Severus Snape, Tom Riddle, Remus Lupin, Dolores Umbridge, Mad-Eye Moody, Quirinus Quirrell, Barty Crouch, and Gilderoy Lockhart. Albus Dumbledore needs to interview the candidates. How many possible orders are there in which Dumbledore can interview the candidates if all of the following conditions must be simultaneously true? Snape must be interviewed before Riddle, Dolores Umbridge is interviewed last, • Crouch and Moody must be interviewed at the same time in a joint interview, AND • Lupin and Lockhart are interviewed consecutively (although we do not know which of the two is interviewed first)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Eight different people want to interview for the Defense Against the Dark Arts professorship at Hogwarts:
Severus Snape, Tom Riddle, Remus Lupin, Dolores Umbridge, Mad-Eye Moody, Quirinus Quirrell, Barty Crouch, and
Gilderoy Lockhart.
Albus Dumbledore needs to interview the candidates.
How many possible orders are there in which Dumbledore can interview the candidates if all of the following conditions
must be simultaneously true?
Snape must be interviewed before Riddle,
• Dolores Umbridge is interviewed last,
• Crouch and Moody must be interviewed at the same time in a joint interview, AND
Lupin and Lockhart are interviewed consecutively (although we do not know which of the two is interviewed first)
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