In a family of four children, how many different boy-girl birth-order combinations are possible? (The birth orders BBBG and BBGB are different.)

Question

In a family of four children, how many different boy-girl
birth-order combinations are possible? (The birth orders
BBBG and BBGB are different.)

Answer 1

 

There are two possibilities for each birth, and 4 births total.

 

So there are 2⁴ = 16 possible birth orders for four children.