Question

Consider the task of selecting squads of size k from a roster of size n. Every squad MUST also have a captain. Let us look at two ways of going about this task.

-Count the number of ways of first picking a squad of size k from the roster of size n and then picking a captain among the squad.

-Count the number of ways of first picking the captain directly from the roster and then picking the remaining k − 1 squad members from the remainder of the roster.

Answer 1

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Hereby, I've attached the solution using both ways stated.

I hope you'll find it useful.

Thanks for asking!