category problem

hi..i have a category problem..

I have two parent category with there child. ex.

ALL is the parent Music Arts Comedy are the child categories

Channel is the other parent categories Channel1 Channel2 Channel3

and each entry have the option to have this two parent categories and child category exam.

I have sampletest entry.

Sample test entry can be categories as Music under the ALL parent categories. and have also the option to be categories as Channel1 under the Channel parent categories.

and in the template i want to show only the child.

it would be implemented like this:

Sample Test Category: Music Channel: Channel1

i use this code:

{categories}{category_name}{/categories}

and the output is: AllMusicChannelChannel1

it display all the categories.

It would be possible that i would only show the child and have a output like this?

Sample Test Category: Music Channel: Channel1

thanks..