Three people play badminton and pass it to each other. Everyone can only kick once at a time, starting with kicking. After five passes, the shuttlecock was kicked back to A, so there are (10) different ways of passing.

The analysis is as follows:

From the first pass, A can kick to B or C.

On the second pass, the shuttlecock can kick to A and C; A, b

The third time, the shuttlecock can kick to B and C; Party A and Party B; b，C； a，c；

The fourth level, if the shuttlecock is here at this time, then you can kick 2 people; If the shuttlecock is not here at this time, it can only be kicked to another person 1 who is not A, so it can be kicked to: c; b； b，C； c； c； b； b，C； b； *** 10 possibilities

The fifth level can only kick back to A, and the options are only 1.

So there are 10 different delivery methods.

I wish you progress in your study!

Hope to adopt