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How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed?

Question and options

How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed?
  1. 36
  2. 30
  3. 24
  4. 12

Answer and explanation

Correct answer: C - 24
Units digit must be 2 or 4 (2 ways); remaining two places filled from the other 4 digits in 4*3 = 12 ways. Total 2*12 = 24.

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