Logic Puzzle
Three men named Lewis, Miller, and Nelson work as accountant, cashier and clerk in the same department store.
If Nelson is the cashier, Miller is the clerk.
If Nelson is the clerk, Miller is the accountant.
If miller is not the cashier, Lewis is the clerk.
If Lewis is the accountant, Nelson is the clerk.
What is each man's job?
posted by steven | 5:14 AM
3 Comments:
Nelson - accountant
Miller - cashier
Lewis - clerk
Anonymous has the classically correct answer, though vtbonehead could be right too!
(This puzzle from CR Wylie Jr's '101 Puzzles in Thought and Logic', 1957).
This can be solved by discrete mathematics.
Three men named Lewis (L), Miller (M), and Nelson (N) work as accountant (A), cashier (S) and clerk (C)
in the same department store.
If Nelson is the cashier, Miller is the clerk.
If Nelson is the clerk, Miller is the accountant.
If miller is not the cashier, Lewis is the clerk.
If Lewis is the accountant, Nelson is the clerk.
Statement 1 : N v S -> M v C
Statement 2 : N v C -> M v A
Statement 3 : M v ~S -> L v C
Statement 4 : L v A -> N v C
Statement 2 and statement 4 contridicts each other.
Hence only Statement 1 and Statement 3 is true
If Nelson is the cashier, Miller is the clerk.
If miller is not the cashier, Lewis is the clerk.
Only the following fulfils statement 1 and 3
Lewis is the clerk
Miller is the cashier
Nelson is the accountant
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