A safe has 5 locks: V, W, X, Y and Z, all of which must be unlocked for the safe to open. The keys of the locks are distributed among five executives in the following manner:  Mr. A has keys for locks V and X. Mr. B has keys for locks V and Y . Mr. C has keys for locks W and Y . Mr. D has keys for locks X and Z. Mr. E has keys for locks V and Z. Write an expression F(A, B, C, D, E) which specifies when the safe can be opened as a function of what executives are present. Also mention that who is the “essential executive” without whom the safe can not be opened.

EBK ELECTRICAL WIRING RESIDENTIAL
19th Edition
ISBN:9781337516549
Author:Simmons
Publisher:Simmons
Chapter19: Special-purpose Outlets-water Pump, Water Heater
Section19.2: Water Heater Branch Circuit
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A safe has 5 locks: V, W, X, Y and Z, all of which must be unlocked for the safe to open. The keys of
the locks are distributed among five executives in the following manner: 
Mr. A has keys for locks V and X.
Mr. B has keys for locks V and Y .
Mr. C has keys for locks W and Y .
Mr. D has keys for locks X and Z.
Mr. E has keys for locks V and Z.
Write an expression F(A, B, C, D, E) which specifies when the safe can be opened as a function of what
executives are present. Also mention that who is the “essential executive” without whom the safe can
not be opened.

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