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Question -

How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?



Answer -

Even number means that last digit should be even,
Number of possible digits at one’s place = 3 (2, 4 and 6)
⇒ Number of permutations=
 
One of digit is taken at one’s place, Number of possible digits available = 5
⇒ Number of permutations=
 
Therefore, total number of permutations =3 × 20=60.

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