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Question

Difficulty: EasyOrder and Ranking

In a straight row of parked vehicles, a red car is positioned 14th14^{\text{th}} from the left end and 19th19^{\text{th}} from the right end. What is the total number of vehicles parked in the row?

  1. 32Answer
  2. B
    33
  3. C
    31
  4. D
    34

Answer

The total number of vehicles parked in the row is 32.
When the rank of a single item is given from both ends of a row, the total number of items is calculated using N=Rank from Left+Rank from Right−1N = \text{Rank from Left} + \text{Rank from Right} - 1. Adding 1414 and 1919 gives 3333, and subtracting 11 to correct for double-counting gives 3232.

Step-by-Step Solution

1
Identify the given position values for the object.
Position from left (LL) = 14, Position from right (RR) = 19.
The rank of a single object is provided from both ends of a single linear row.
2
Apply the dual-rank single-person total formula.
Total (NN) = L+R−1=14+19−1=32L + R - 1 = 14 + 19 - 1 = 32.
The specified car is counted twice (once from the left and once from the right), so 11 must be subtracted from the sum of ranks.

Key Concept

Single-person dual rank total calculation
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Topics

Order and Ranking

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