21.-40. Imagine two coins on a table, at positions A and B. In this game there are eight possible moves: M1: Flip over the coin at A. M2: Flip over the coin at B. M3: Flip over both coins. M4: Switch the coins. M5: Flip coin at A; then switch. M6: Flip coin at B, then switch. M7: Flip both coins; then switch. E Do not change anything. We may consider an operation on the set I, M1, ..., M7), which consists of performing any two moves in succession. For example, if we switch coins, then flip over the coin at A, this is the same as first flipping over the coin at B then switching: M4* M1 = M2 M4 = M6 a. If G= {I, M1, ..., M7) and is the operation we have just described, write the table of (G, *). I M1 M2 M3 M4 M5 M6 M7 I M1 M2 M6 M3 M4 M6 M5 M6 M7
21.-40. Imagine two coins on a table, at positions A and B. In this game there are eight possible moves: M1: Flip over the coin at A. M2: Flip over the coin at B. M3: Flip over both coins. M4: Switch the coins. M5: Flip coin at A; then switch. M6: Flip coin at B, then switch. M7: Flip both coins; then switch. E Do not change anything. We may consider an operation on the set I, M1, ..., M7), which consists of performing any two moves in succession. For example, if we switch coins, then flip over the coin at A, this is the same as first flipping over the coin at B then switching: M4* M1 = M2 M4 = M6 a. If G= {I, M1, ..., M7) and is the operation we have just described, write the table of (G, *). I M1 M2 M3 M4 M5 M6 M7 I M1 M2 M6 M3 M4 M6 M5 M6 M7
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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Please complete the Cayley's Table. Kindly include the complete solution. Thank you

Transcribed Image Text:21. - 40.
Imagine two coins on a table, at positions A and B. In this game there are eight
possible moves:
M1: Flip over the coin at A.
M2: Flip over the coin at B.
M3: Flip over both coins.
M4: Switch the coins.
M5: Flip coin at A; then switch.
M6: Flip coin at B; then switch.
M7: Flip both coins; then switch.
I: Do not change anything.
We may consider an operation on the set I, M1, ..., M7), which consists of
performing any two moves in succession. For example, if we switch coins, then
flip over the coin at A, this is the same as first flipping over the coin at B then
switching: M4 M1 M2 M4 M6
*
a. If G = (I, M1, ..., M7) and is the operation we have just described, write the
table of (G, *).
I M1 M2 M3 M4 M5 M6 M7
I
M1
M2
M6
M3
M4
M6
M5
M6
M7
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