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Vijay is at a music festival where several bands play at the same time. There are $2$ bands playing from $3:00$ to $4:00$ , and $8$ bands playing from $4:00$ to $5:00$ . Assuming Vijay goes to see exactly one band every hour, how many different sets of bands can Vijay see at the music festival? $\newline$ ____ ways

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Find the number of outcomes: word problems

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Q. Vijay is at a music festival where several bands play at the same time. There are

2

bands playing from

3:00

to

4:00

, and

8

bands playing from

4:00

to

5:00

. Assuming Vijay goes to see exactly one band every hour, how many different sets of bands can Vijay see at the music festival?

\newline

____ ways

Identify number of bands: Step $1$ : Identify the number of bands playing each hour. $\newline$ From $3:00$ to $4:00$ , there are $2$ bands playing. $\newline$ From $4:00$ to $5:00$ , there are $8$ bands playing.
Calculate total sets: Step $2$ : Calculate the total number of different sets of bands Vijay can see. $\newline$ Vijay can choose $1$ band from the $2$ bands playing in the first hour and $1$ band from the $8$ bands playing in the second hour. $\newline$ The total number of different sets is calculated by multiplying the number of choices in each hour: $2$ bands $\times$ $8$ bands. $\newline$ $2 \times 8 = 16$

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