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Question
The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______.
Options
51
52
53
54
MCQ
Fill in the Blanks
Solution
The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is 52.
Explanation:
Given digits 0, 1, 3, 4, 6, 7
The number of three-digit even numbers ending with 0
= 5 × 4 = 20
The number of three-digit even numbers ending with 4
= 4 × 4 = 16
The number of three-digit even numbers ending with 6
= 4 × 4 = 16
Total three digits even numbers
= 20 + 16 + 16 = 52
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