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?

Answer 1

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 = $3\times 5\times 4=60$