I think it's policy that children under a certain age are not allowed in FC.
There are of course circumstances when it happens.
Maybe the person with child was "bumped" or "denied" on the previous flight and this was the only seat available on the next flight.
That is just one example of why it might happen. Another, which happened to me recently, a "well-off" family of 6 had bought full-fare FC tickets for the entire lot.
Careless father, demanding mother, one screaming toddler (in a paid seat), two messy twin boys, two girls complete with their entire Barbie collection spread out everywhere, and one young teen playing nintendo and listen to walkman.
When they left the cabin (with millions of bags), it was like a tornado had hit. Crumbs, crackers, peanuts, napkins, paper towels, pillows, blankets and GUM EVERYWHERE.
And you know what? Thos pillows and blankets were just put back in to the bins by the cleaners.