How many 2 digit even numbers can be formed f | vedclass

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(A) $2$ digit number has a ten's place and a unit's place.For the number to be even,the unit's place must be filled by an even digit from the set $\{1

Vedclass · Accepted Answer

$10$

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(A) $2$ digit number has a ten's place and a unit's place.For the number to be even,the unit's place must be filled by an even digit from the set $\{1, 2, 3, 4, 5\}$.The available even digits are $2$ and $4$. Thus,the unit's place can be filled in $2$ ways.Since repetition of digits is allowed,the ten's place can be filled by any of the $5$ given digits $(1, 2, 3, 4, 5)$. Thus,the ten's place can be filled in $5$ ways.By the multiplication principle,the total number of $2$ digit even numbers is $5 	imes 2 = 10$.

How many $2$ digit even numbers can be formed from the digits $1, 2, 3, 4, 5$ if the digits can be repeated?

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