Question

The number of four digit even numbers than can be formed with $1,2,3,4,5,6$ is

• A. 125
• B. 180
• C. 120
• D. 360

Answer 1

Answer: (B)

180

The last digit for an even number to be formed from the given digits should be $2,4,6$.

Remaining $3$ digits can be selected from $5$ digits in ${}^5{P}_3$ ways.

So, the total no. of ways ${=}^5{P}_3\times 3$ $=60\times 3$ $=180$.