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Question

How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 5, 6, 7, if no digits is repeated?

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Solution


From the digits, 1,2,3,4,5,6,7, only 3 digits (2,4,6) are possible at the unit's place.

Therefore, the unit's place can be filled in 3 different ways.

Ten's place can be filled in 5 ways.

Hundred's places can be filled in 4 ways.

Therefore, number of 3 digit even numbers = 3×5×4=60

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