The nth statement in a list of 100 statements is “Exactly

Chapter 1, Problem 49E

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QUESTION:

Problem 49E

The nth statement in a list of 100 statements is “Exactly n of the statements in this list are false.”

a) What conclusions can you draw from these statements?

b) Answer part (a) if the nth statement is “At least n of the statements in this list are false.”

c) Answer part (b) assuming that the list contains 99 statements.

Questions & Answers

QUESTION:

Problem 49E

The nth statement in a list of 100 statements is “Exactly n of the statements in this list are false.”

a) What conclusions can you draw from these statements?

b) Answer part (a) if the nth statement is “At least n of the statements in this list are false.”

c) Answer part (b) assuming that the list contains 99 statements.

ANSWER:

Solution:

Step 1 ;

Given that the nth statement in a list of 100 statements is “Exactly n of the statements in this list are false.”

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