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Question

Yolanda sent a photo of her and her family on vacation to nine Facebook friends. If each of them sends it to five of their friends, and each of those friends sends it to five of their friends, and those friends send it to five more, how many people (not counting Yolanda herself) will see her photo? No friend received the photo twice. Express your answer in exponential notation.

A
9+5+52+53
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B
9(1+5+52+53)
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C
1+5+52+53
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D
None of the above
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Solution

The correct option is B 9(1+5+52+53)
Total number of people who will see the photo = 9+9×5+9×5×5+9×5×5×5
= 9(1+5+52+53)

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