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A vehicle registration number consists of 2 letters of English alphabet followed by 4 digits, where the first digit is not zero. Then, the total number of vehicles with distinct registration numbers is

Options

  1. A26² 10⁴
  2. B²⁶ P ₂ ¹⁰ P ₄
  3. C²⁶ P ₂ 9 ¹⁰ P ₃
  4. D26² 9 10³

Correct answer

D. 26² 9 10³

Step-by-step solution

The total number of arrangements of 2 letters of English alphabet =26 26 The total number of arrangements of 4 digits number in which first digit is not zero =9 10 10 10 The total number of vehicles with distinct registration number array l =26 26 9 10 10 10 =26² 9 10³ array

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