Total number of digits possible for choosing
![\[=\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e45ddd13b94c34a71f1a55ef7d8c9ef2_l3.png "Rendered by QuickLaTeX.com")
Number of places for which a digit has to be taken
![\[=\text{ }5=4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3d6f4429c137a52f62191221734e299d_l3.png "Rendered by QuickLaTeX.com")
As there is no repetition allowed,
⇒ Number of permutations =
The number will be even when 
and 
are at one’s place.
The possibility of 
at one’s place
![\[=~2/5\text{ }=\text{ }0.4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-11c68e654ad718419c3b6a2e501b2fd6_l3.png "Rendered by QuickLaTeX.com")
Total number of even number
![\[=\text{ }120\text{ }\times \text{ }0.4\text{ }=\text{ }48.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5c0ba5f268dc3579f9af14f502404ec1_l3.png "Rendered by QuickLaTeX.com")