Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness, and Hope
(1) Class 1 spelunkers may not attempt cave Ewell, Fields or Hope
(2) Class 2 spelunkers may not attempt Hope
(3) Class 3 spelunkers may attempt any cave
(4) Cave Caesar may be attempted only by spelunkers who have previously explored cave Benny
(5) Cave Fields may be attempted only by spelunkers who have previously explored cave Ewell
(6) Only two of caves Benny, Caeser, Ewell, Fields, and Hope may be attempted by any explorer in a single tour
In how many different ways may a class 1 spelunker who has never explored any of the eight caves before set up a tour of three caves, if she wishes to explore caves Abbott and Caesar?
A. 2
B. 3
C. 4
D. 5
E. 6
B
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- Jun 26th, 2005
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Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness, and Hope (1) Class 1 spelunkers may not attempt cave Ewell, Fields or Hope (2) Class 2 spelunkers may not attempt Hope (3) Class 3 spelunkers may attempt any cave (4) Cave Caesar may be attempted only by spelunkers who have previously explored cave Benny (5) Cave Fields may be attempted only by spelunkers who have previously explored cave Ewell (6) Only two of caves Benny, Caeser, Ewell, Fields, and Hope may be attempted by any explorer in a single tour In how many different ways may a class 1 spelunker who has never explored any of the eight caves before set up a tour of three caves, if she wishes to explore caves Abbott and Caesar? A. 2 B. 3 C. 4 D. 5 E. 6
B
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