Question

The number of three digit odd numbers that can be formed with $1,2,3,4,5$ is

• A. $36$
• B. $60$
• C. $24$
• D. $53$

Answer 1

The correct option is A $36$

The last digit can take one of these $3$ values, $1,3,5$ if the no. is odd.
The remaining $2$ digits can take any $2$ of the remaining $4$ digits.
Total no. of ways $=3{\times }^4{P}_2$
$=3\times 12$
$=36$