Merging fields to count as one

Hello,

I am very new to PowerBI and potentially this is an easy question so my apologies if it seems stupid to ask this. I have data in this format

Right now, when try to build a visualization in desktop, I am only able to count these categories seperately. Like in this decomposition tree, I can only follow the thread of which projects are serving children and youth as first choice, then people living with mental health issues as a second choice, etc. 

Or on this dashboard, I need individual splicers for each choice to be able to filter for each choice

What I would like is to be able to somehow total up each category. So that regardless of which choice it is mentioned at, it would count towards a total. So like in the sample table, Children and Youth are served in 3 different projects in 3 different choices. I want the decomposition table to be able to total that up instead of spliting them by the choice selection. I imagine I will have to create a new field/column somehow in transforming the data but I have no idea how to do that. Could something be comma seperated or semicolon seperated but PowerBI would be able to recognize the individual values?

I tried create true/false columns for each population type but I have over 12 population types listed and couldn't find an easy way to filter on the dashboard without creating 12 different splicers. 

I hope my question makes sense and that someone knows of a work around that would help.