Question

How many $2$ digit even numbers can be formed from the digits $1,4,5,6,9$ if the digits can be repeated?

• A. $20$
• B. $25$
• C. $10$
• D. $8$

Answer 1

The correct option is C $10$

$1,4,5,6,9$

There will be as many ways as there are ways of filling $2$ vacant places in succession by the five given digits.

Here, in this case, we start filling in unit’s place, because the options for this place are $4$ and $6$ only and this can be done in $2$ ways; following which the ten’s place can be filled by any of the $5$ digits in $5$ different ways as the digits can be repeated.

Therefore, the required number of two digits even numbers is
$2\times 5=10.$