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?
Practice Questions
1 question
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?
A, C, D, E, B
B, A, C, E, D
D, C, E, A, B
C, D, A, B, E
The arrangement A, C, D, E, B satisfies the conditions as A is not next to B and C is between D and E.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
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.
Steps: 10
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.
