A chain letter starts when a person sends a letter to 4 others. Each person who receives the letter either sends it to 4 other people who have never received it or does not send it to anyone. Suppose that 20 people send out the letter before the chain ends and that no one receives more than one letter. (a) How many people receive the letter? (b) How many people are there in the chain letter? (c) How many people do not send it out?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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A chain letter starts when a person sends a letter to 4 others. Each person who
receives the letter either sends it to 4 other people who have never received it or
does not send it to anyone. Suppose that 20 people send out the letter before the
chain ends and that no one receives more than one letter.
(a) How many people receive the letter?
(b) How many people are there in the chain letter?
(c) How many people do not send it out?
Transcribed Image Text:A chain letter starts when a person sends a letter to 4 others. Each person who receives the letter either sends it to 4 other people who have never received it or does not send it to anyone. Suppose that 20 people send out the letter before the chain ends and that no one receives more than one letter. (a) How many people receive the letter? (b) How many people are there in the chain letter? (c) How many people do not send it out?
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