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Mathematics · JEE | PERMUTATIONS AND COMBINATIONS

हिन्दी

How many 3-digit even numbers can be formed from the digits \( 1, 2, 3, 4, 5, 6 \) if the digits can be repeated?

  1. A
    \( 216 \)
  2. B
    \( 72 \)
  3. C
    \( 108 \)
  4. D
    \( 144 \)
View Answer & Solution

Correct answer · Option C

\( 108 \)

Explanation

The unit's place can be filled in 3 ways (\( 2, 4, 6 \)). Since repetition is allowed, the ten's and hundred's places can each be filled in 6 ways. Total numbers = \( 6 \times 6 \times 3 = 108 \).
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