Question

There are $3$ ways to go from $A$ to $B$, $2$ ways to go from $B$ to $C$ and $1$ way to go from $A$ to $C$. In how many ways can a person travel from $A$ to $C?$

Answer 1

Travelling from $A$ to $C$ through $B:$

To travel from $A$ to $B,$ there are $3$ ways.

To travel from $B$ to $C,$ there are $2$ ways.

So, total ways of travelling from $A$ to $C$ through $B=3\times 2=6$ ways.

It is give that there is $1$ way to go from $A$ to $C$ directly.

$\therefore$ Total ways a person can travel from $A$ to $C=6+1=7$ ways.