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Erica is at a music festival where several bands play at the same time. There are 22 bands playing from 3:003:00 to 4:004:00, and 77 bands playing from 4:004:00 to 5:005:00. Assuming Erica goes to see exactly one band every hour, how many different sets of bands can Erica see at the music festival?\newline____ ways

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Q. Erica is at a music festival where several bands play at the same time. There are 22 bands playing from 3:003:00 to 4:004:00, and 77 bands playing from 4:004:00 to 5:005:00. Assuming Erica goes to see exactly one band every hour, how many different sets of bands can Erica see at the music festival?\newline____ ways
  1. Identify Choices for Each Hour: Identify the number of choices Erica has for each hour.\newlineFrom 3:003:00 to 4:004:00, Erica can see 22 different bands.\newlineFrom 4:004:00 to 5:005:00, Erica can see 77 different bands.\newlineTo find the total number of different sets of bands Erica can see, we need to multiply the number of choices she has for each hour.
  2. Calculate Total Sets of Bands: Calculate the number of different sets of bands Erica can see. The number of different sets of bands is the product of the number of choices for each hour. So, Erica has 22 choices for the first hour and 77 choices for the second hour. 22 (choices for the first hour) ×\times 77 (choices for the second hour) = 1414 different sets of bands.

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