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In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit n

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Question: In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit next to B, and C must sit between D and E, which of the following arrangements is valid?

Options:

  1. A, C, D, E, B
  2. B, A, C, E, D
  3. D, C, E, A, B
  4. C, D, A, B, E

Correct Answer: A, C, D, E, B

Solution: 

The arrangement A, C, D, E, B satisfies the conditions as A is not next to B and C is between D and E.

In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit n

Practice Questions

Q1
In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit next to B, and C must sit between D and E, which of the following arrangements is valid?
  1. A, C, D, E, B
  2. B, A, C, E, D
  3. D, C, E, A, B
  4. C, D, A, B, E

Questions & Step-by-Step Solutions

In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit next to B, and C must sit between D and E, which of the following arrangements is valid?
  • Step 1: Identify the friends involved: A, B, C, D, and E.
  • Step 2: Understand the conditions: A cannot sit next to B, and C must sit between D and E.
  • Step 3: Visualize the arrangement: Since C must be between D and E, we can represent it as D, C, E.
  • Step 4: Now, we need to place A and B in the remaining spots without violating the conditions.
  • Step 5: Place A in the first position: A, D, C, E, B. Check if A is next to B. Yes, this arrangement is invalid.
  • Step 6: Try placing A in the second position: D, A, C, E, B. Check if A is next to B. Yes, this arrangement is invalid.
  • Step 7: Try placing A in the third position: D, C, A, E, B. Check if A is next to B. Yes, this arrangement is invalid.
  • Step 8: Try placing A in the fourth position: D, C, E, A, B. Check if A is next to B. Yes, this arrangement is invalid.
  • Step 9: Finally, try placing A in the fifth position: A, C, D, E, B. Check if A is next to B. No, this arrangement is valid.
  • Step 10: Confirm that C is between D and E in the arrangement A, C, D, E, B. This satisfies the condition.
  • Scheduling and Arrangement Constraints – Understanding how to arrange individuals based on specific seating restrictions.
  • Logical Reasoning – Applying logical reasoning to determine valid arrangements based on given conditions.
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