Determine number of node relationships in recursive query

Thanks Vivek. On its own that indeed returns the number of children for each parent. How does that fit into my recursive query though?

╒════════════╤════════════╕
│"name"      │"childCount"│
╞════════════╪════════════╡
│"Root"      │3           │
├────────────┼────────────┤
│"Sub Assy 1"│2           │
├────────────┼────────────┤
│"Sub Assy 2"│1           │
├────────────┼────────────┤
│"Sub Assy 3"│1           │
├────────────┼────────────┤
│"Part 1"    │1           │
├────────────┼────────────┤
│"Part 2"    │1           │
└────────────┴────────────┘