In a line of people, if A is at the 5th position from the left and B is at the 3rd position from the right, how many people are there in the line if A and B are not adjacent?
Practice Questions
1 question
Q1
In a line of people, if A is at the 5th position from the left and B is at the 3rd position from the right, how many people are there in the line if A and B are not adjacent?
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If A is 5th from the left and B is 3rd from the right, there are 9 people in total.
Questions & Step-by-step Solutions
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Q
Q: In a line of people, if A is at the 5th position from the left and B is at the 3rd position from the right, how many people are there in the line if A and B are not adjacent?
Solution: If A is 5th from the left and B is 3rd from the right, there are 9 people in total.
Steps: 9
Step 1: Identify A's position. A is at the 5th position from the left.
Step 2: Identify B's position. B is at the 3rd position from the right.
Step 3: Understand that the total number of people can be calculated by adding A's position and B's position, then subtracting 1 (because A and B are not adjacent).
Step 4: Calculate the total: A's position (5) + B's position (3) - 1 = 5 + 3 - 1.
Step 5: Perform the calculation: 5 + 3 = 8, then 8 - 1 = 7.
Step 6: Since A is at the 5th position from the left, there are 4 people to the left of A.
Step 7: Since B is at the 3rd position from the right, there are 2 people to the right of B.
Step 8: Add the people to the left of A (4), A (1), the people between A and B (1), and the people to the right of B (2): 4 + 1 + 1 + 2 = 8.
Step 9: Therefore, the total number of people in the line is 9.
