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Janelle, a singer, is putting together a backup band for a recording and posted an advertisement looking for musicians. She got replies from $2$ lead guitarists and $8$ drummers. How many different backup bands is it possible for Janelle to put together? $\newline$ _____ bands

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Counting principle

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Q. Janelle, a singer, is putting together a backup band for a recording and posted an advertisement looking for musicians. She got replies from

2

lead guitarists and

8

drummers. How many different backup bands is it possible for Janelle to put together?

\newline

_____ bands

Determine Choices: Step $1$ : Determine the number of choices for each musician type. $\newline$ Janelle can choose $1$ lead guitarist out of $2$ and $1$ drummer out of $8$ . $\newline$ Choices for lead guitarist = $2$ $\newline$ Choices for drummer = $8$
Calculate Total: Step $2$ : Calculate the total number of different bands Janelle can form. $\newline$ Using the multiplication principle, multiply the number of choices for each musician type. $\newline$ Total bands = Choices for lead guitarist $\times$ Choices for drummer $\newline$ Total bands = $2 \times 8$
Perform Multiplication: Step $3$ : Perform the multiplication to find the final answer. $\newline$ Total bands = $16$

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