How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together in this order If A,B,C sit together in any order If E is seated somewhere to the left of D If B and C shouldn't sit together, and neither should E and D If neither A nor C should sit beside B If A shouldn't sit to the immediate left of B, and C shouldn't sit to the immediate right of B If B sits somewhere to the left of E, and E sits somewhere to the right of D

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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How many seating arrangements can be formed if by seating A,B,C,D,E in a row:

  1. If A,B,C sit together in this order
  2. If A,B,C sit together in any order
  3. If E is seated somewhere to the left of D
  4. If B and C shouldn't sit together, and neither should E and D
  5. If neither A nor C should sit beside B
  6. If A shouldn't sit to the immediate left of B, and C shouldn't sit to the immediate right of B
  7. If B sits somewhere to the left of E, and E sits somewhere to the right of D
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