Question

I need help with a problem.

Calculate the number of possibilities described in the following scenario:

A two-player Football game requires that one player select an offensive play and the other chooses a defensive play.
The Offensive player first chooses from 29 different plays. (There are 15 Run plays, 12 Pass plays, and 2 Kick Plays.)
The Defensive Player then chooses one of 18 different plays: (There are 10 cover plays and 8 Blitz plays.)
What is the total number of match ups of Offensive and Defensive plays?

Answer 1

Is it not that \(\left(\begin{matrix}29\\1\end{matrix}\right)*\left(\begin{matrix}18\\1\end{matrix}\right)\)

Answer 2

I think so, thank you for your help.