List questions from discrete-mathematics

Published on 11 Apr 2026 - 5:45

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Four men go into a restaurant and leave their umbrellas at the door

Published on 15 Apr 2026 - 7:50

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How many strings of four decimal digits do not contain the same digit twice

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RSA: Show how to factor $n=pq$, the product of two primes, given $(p-1)(q-1)$

Published on 16 Apr 2026 - 9:26

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How do you find the positive integer solutions of this equation with the conditions?

Published on 11 Apr 2026 - 4:54

194

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Number Theory: Prove that $\gcd(a,b) \le \sqrt{a+b}$

Published on 16 Apr 2026 - 13:52

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How to determine if a set relation is Transitive?

Published on 10 Apr 2026 - 20:56

31

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Inclusion exclusion principle counting

Published on 10 Apr 2026 - 4:01

103

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If $p$ is prime, show $kn$ mod $p$ cycles through all values $[0, p-1]$, where $k,n$ are integers.

Published on 15 Apr 2026 - 20:13

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'selfish' set to be a set which has its own cardinality (number of elements) as an element

Published on 11 Apr 2026 - 13:24

55

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Showing $a \setminus (a \setminus b) = a \cap b$ using only set notation.

Published on 15 Apr 2026 - 5:07

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How to prove that the set-theoretic difference operation $\setminus$ cannot be defined through $\cap$ and $\cup$

Published on 15 Apr 2026 - 9:55

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What does this relation represents ?

Published on 26 Mar 2026 - 18:30

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Proving $\binom{n+1+m}{n+1}=\sum_{k=0}^m(k+1)\binom{n+m-k}{n}$

Published on 15 Apr 2026 - 3:30

45

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Does order count in this question?

Published on 10 Apr 2026 - 8:02

List Question

Combinatorics- Calculating Grundy Value

Four men go into a restaurant and leave their umbrellas at the door

How many strings of four decimal digits do not contain the same digit twice

RSA: Show how to factor $n=pq$, the product of two primes, given $(p-1)(q-1)$

How do you find the positive integer solutions of this equation with the conditions?

Number Theory: Prove that $\gcd(a,b) \le \sqrt{a+b}$

How to determine if a set relation is Transitive?

Inclusion exclusion principle counting

If $p$ is prime, show $kn$ mod $p$ cycles through all values $[0, p-1]$, where $k,n$ are integers.

'selfish' set to be a set which has its own cardinality (number of elements) as an element

Showing $a \setminus (a \setminus b) = a \cap b$ using only set notation.

How to prove that the set-theoretic difference operation $\setminus$ cannot be defined through $\cap$ and $\cup$

What does this relation represents ?

Proving $\binom{n+1+m}{n+1}=\sum_{k=0}^m(k+1)\binom{n+m-k}{n}$

Does order count in this question?

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