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DISCRETE MATHEMATICS_MA102_2025-26

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Which of the following is a valid argument form of the inductive step in strong induction.

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How many reflexive relations are there on a set with  elements?

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Let  be a function defined as for every ,  is 
the set of positions where the decimal writing of  has . For example . 
Which of the following statement is correct?

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How many symmetric relations are there on a set with  elements?

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If  and , then which of the following is true. 
( represents the equivalence class of )

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What is the converse of the following assertion?
I stay only if you go.

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Let . Then  

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Let  be the infinite set.

Then  

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Consider the following four statements:

 [a] Ice floats in water or 2 + 2 = 4.    
[b] China is in Europe or 2 + 2 = 4.

 [c] China is in Europe or 2 + 2 = 5.

Which of the following statement is false.

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Let  be any bijection. Compute the number . 
Which of the following is true?

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