Question

The number of $3$-digit even numbers that can be formed from the digits $1,2,3,4,5,6$, if the digits can be repeated is

• A. $101$
• B. $105$
• C. $108$
• D. $100$

Answer 1

The correct option is C $108$

Let the number be of form $ABC$
For $C$ we have $3$ choices i.e. $2,4,6$
As repetition is allowed,
For $A$ there are $6$ choices
Similarly, for $B$ there are $6$ choices

Therefore, the total number possible
$=6\times 6\times 3=108$