Question #63411

You are getting engaged and your fiancée has hidden the engagement ring. If only one
statement is true, determine which statement is true? Where is the ring?
Statement 1: The ring is in this box --->A
Statement 2: The ring is not in this box --->B
Statement 3: The ring is not in box A --->C

Use truth table to show the answer.
1

Expert's answer

2016-11-16T09:31:12-0500

Answer on Question #63411 – Math – Discrete Mathematics

Question

You are getting engaged and your fiancée has hidden the engagement ring. If only one

statement is true, determine which statement is true? Where is the ring?

Statement 1: The ring is in this box --->A

Statement 2: The ring is not in this box --->B

Statement 3: The ring is not in box A --->

Use truth table to show the answer.

Solution

Truth table

Ring is in box



Therefore, if the ring is in box B, then only the statement 3 is true.

The ring could be in the box B if only one statement is true.

Answer: The ring could be in the box B if only one statement is true.

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