number of boys-9
number of girls-6
9C6 × 6C4 + (probability of 6 boys and 4 girls)
9C7 × 6C3 + (7 boys 3 girls)
9C8 × 6C2 + (8 boys 2 girls)
9C9 × 6C1 (9 boys 1 girl)
I dont have Web search available to me and am at a gathering but will try and update this.