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COMEDK · Maths · 4. Permutation Combination

Codes used for vehicle identification consists of two distinct English alphabets followed by two distinct digits from 1 to 9 . How many of them end with an even number.

  1. A \(2600\)
  2. B \(20800\)
  3. C \(5200\)
  4. D \(10400\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(20800\)

Step-by-step Solution

Detailed explanation

The vehicle identification code consists of four positions: two distinct English alphabets followed by two distinct digits from 1 to 9. The number of ways to choose two distinct alphabets is \(^{26}P_{2} = 26 \times 25 = 650\). The digits are chosen from the set…