Discrete Math: The list below contains 6 statements. Each statement refers to th

Question

Discrete Math:

The list below contains 6 statements. Each statement refers to the list.

        Determine the truth value of each statement.

1. At least 1 statement in this list is false.

2. At least 2 statements in this list are false.

3. At least 3 statements in this list are false.

4. At least 4 statements in this list are false.

5. At least 5 statements in this list are false.

6. At least 6 statements in this list are false.

3b) Remove statement 6 from the list above. Now re-determine the truth values of the five remaining statements

Explanation / Answer

The given statements are true in this order

6 implies 5 implies 4 implies 3 implies 2 implies 1.

Also ~1  implies ~2 implies ~3 implies ~4 implies ~5 implies ~6.

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If 6 is removed

5 implies 4 implies 3 implies 2 implies 1

Also  ~1  implies ~2 implies ~3 implies ~4 implies ~5

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