SOLUTION: Hi I've done these questions 3 times and still getting them wrong could someone please help. A board game involves guessing which 1 of 6 characters commited mrder in 1 of 9 rooms w

Question 283307: Hi I've done these questions 3 times and still getting them wrong could someone please help. A board game involves guessing which 1 of 6 characters commited mrder in 1 of 9 rooms with 1 of 6 possible weapons.
a) How many different guesses can be made if 1 character, 1 room, and 1 weapon must be guessed?
b) You are dealt 6 cards that allow you to eliminate 2 characters and 4 rooms. How many different guesses remain if 1 character, 1 room, and 1 weapon must be chosen?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A board game involves guessing which 1 of 6 characters commited mrder in 1 of 9 rooms with 1 of 6 possible weapons.
a) How many different guesses can be made if 1 character, 1 room, and 1 weapon must be guessed?
(1/6)*(1/9)*(1/6) = 1/324
--> 324 combinations
-----------------------
b) You are dealt 6 cards that allow you to eliminate 2 characters and 4 rooms. How many different guesses remain if 1 character, 1 room, and 1 weapon must be chosen?
That leaves 4 chars, 5 rooms and 6 weapons
--> 4*5*6 = 120 combinations

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