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Question 290010
JEE Mathematics · Hard

Permutations and Combinations: JEE Main MCQ

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JEE MainHardQuestion 290010

Question

The number of 4-digit numbers with distinct digits that are divisible by 5 is:
  1. A
    952
    Correct
  2. B
    864
  3. C
    672
  4. D
    504

Correct answer

952

Explanation

Divisible by 5 → last digit is 0 or 5. Case 1 (last=0): first digit: 9 choices (1−9), 2nd: 8, 3rd: 7 → 9×8×7 = 504. Case 2 (last=5): first digit: 8 choices (1−9 excluding 5), 2nd: 8, 3rd: 7 → 8×8×7 = 448. Total = 504 + 448 = 952.

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