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In a row of 20 people, A is 5th from the left. B is 5th from the right. How many people are between them?
8
9
10
11
10
When the sum of the positions from both ends is less than the total number of people, the formula is: Number of people between = Total - (Position from Left + Position from Right).
When the sum of the positions from both ends is less than the total number of people, the formula is: Number of people between = Total - (Position from Left + Position from Right).
Identify Given Data
Total people (N) = 20. Position of A from left (L) = 5. Position of B from right (R) = 5.
Apply Calculation
The formula for people between two entities when no overlapping occurs is (Total - (L + R)). So, 20 - (5 + 5) = 20 - 10 = 10.
A: 8 is incorrect because it ignores the total count of 20. B: 9 is incorrect as it fails to subtract the correct positional values. D: 11 is incorrect because it mistakenly adds an extra person instead of subtracting.
C is correct because subtracting the combined positions of A and B from the total count (20 - 10) leaves exactly 10 people in between.
If the sum of ranks (L+R) was greater than the total, you would use the Overlapping formula: (L + R) - Total - 2. Always check if the positions overlap before calculating!
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