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19 people are standing in a row facing North. Drisha is 17th from the right end while Vani is 9th from the left end. How many people are there between Drisha and Vani?
8
2
3
5
5
In a single row of N people, the number of people between two individuals at position L and R is (Total - (PositionLтАЛ + PositionRтАЛ)) if they don't overlap, or |(PositionLтАЛ - PositionRтАЛ)| - 1 if they are on the same side perspective.
In a single row of N people, the number of people between two individuals at position L and R is (Total - (PositionLтАЛ + PositionRтАЛ)) if they don't overlap, or |(PositionLтАЛ - PositionRтАЛ)| - 1 if they are on the same side perspective.
Convert positions to a common reference
Vani is 9th from the left. Drisha is 17th from the right. To find the position from the left, use formula: Position from left = (Total + 1) - Position from right = (19 + 1) - 17 = 3rd position from the left.
Calculate the gap
Now we have both positions from the left: Drisha is 3rd, Vani is 9th. The number of people between them is (Higher position - Lower position - 1) = (9 - 3 - 1) = 5 people.
A: 8 is incorrect; B: 2 is incorrect; C: 3 is incorrect. D: 5 is the mathematically verified result.
D is correct because converting Drisha's position from the right (17th) to the left (3rd) shows she is at position 3 and Vani is at position 9, meaning there are 9-3-1 = 5 people between them.
Always convert both ends to a common reference (either both from left or both from right) before subtracting to avoid off-by-one errors.