Question

A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B

there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?

Answer 1

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...