To provide accurate information regarding the number of children in the canton who received non-subsidized pre-school care, I would need to know which canton you are referring to, as well as any specific time frame for the data.

Generally, statistics on pre-school care can vary significantly by region and can be influenced by local policies, availability of subsidized care, and demographic factors.

If you can specify the canton or provide additional details, I can assist you more effectively in finding the relevant information.