Question

The number of $3$ digit odd numbers, that can be formed by using the digits $1,2,3,4,5,6$ when the repetition is allowed, is

• A. $60$
• B. $108$
• C. $36$
• D. $30$

Answer 1

The correct option is B

$108$

Explanation for correct option

The $3$ digit number to be formed is odd.

Given number, $1,2,3,4,5,6$

Clearly the unit place will be $1,3,5$

For tens and hundred place we have $6$ options each, so, total options $=6\times 6=36$ options.

Therefore, with $3$ options for one's place, total numbers formed$=3\times 36=108$

Hence, the correct option is $\left(\mathrm{B}\right)$.