Question

Nia has number cards 2,3,8,9, and 5 . What are the different way bus can arrange the cards to show only even numbers with 2 in the ten-thousand place?

Answer 1

2 and 8 have fixed places - 2 in the ten-thousands place and and 8 in the ones place (number must be even).
There remaining 3 numbers left can be arranged in $3!=6$ ways.

So, there are 6 different ways.