A group of 24 friends waited in line to see the opening of the latest sci-fi action flick. They had lined up in single file well before the show was to start. Because they'd arrived so early, they were restless and wanted to move around a bit. So, after waiting awhile, the 8th person in line moved up to the front of the line. The 16th person in line

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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I already used micrososoft excel and a wrote a c++ program to get the answer as 70, but the homework requires the answer to be given using mathematical formula or equation, help me please get this answer to this sequence.

GROUP #7
A group of 24 friends waited in line to see the opening of the latest
sci-fi action flick. They had lined up in single file well before the show
was to start. Because they'd arrived so early, they were restless and
wanted to move around a bit. So, after waiting awhile, the 8th person
in line moved up to the front of the line. The 16th person in line
moved up directly behind that person (so was now 2nd in line), and
the 24th person in line moved up directly behind those two people
(and so was now 3rd in line). All 21 other friends moved back (so the
original 1st person was now 4th, the original 2nd person was now
5th, and so on). They waited in line for a while longer and then
switched places in line again: The person who was now 8th in line
moved'up to be 1st, the person who was now 16th in line moved
be 2nd, and the person who was now 24th in line moved up to be 3rd,
and everyone else moved back. After a while they did it again (8th to
1st, 16th to 2nd, and 24th to 3rd), and they continued this game over
and over again until, eventually, they all found themselves back in their
original positions. How many times did they switch places before they
all found themselves back in their original positions? zeit
up
to
en
runs to
Transcribed Image Text:GROUP #7 A group of 24 friends waited in line to see the opening of the latest sci-fi action flick. They had lined up in single file well before the show was to start. Because they'd arrived so early, they were restless and wanted to move around a bit. So, after waiting awhile, the 8th person in line moved up to the front of the line. The 16th person in line moved up directly behind that person (so was now 2nd in line), and the 24th person in line moved up directly behind those two people (and so was now 3rd in line). All 21 other friends moved back (so the original 1st person was now 4th, the original 2nd person was now 5th, and so on). They waited in line for a while longer and then switched places in line again: The person who was now 8th in line moved'up to be 1st, the person who was now 16th in line moved be 2nd, and the person who was now 24th in line moved up to be 3rd, and everyone else moved back. After a while they did it again (8th to 1st, 16th to 2nd, and 24th to 3rd), and they continued this game over and over again until, eventually, they all found themselves back in their original positions. How many times did they switch places before they all found themselves back in their original positions? zeit up to en runs to
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