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Questions Tagged with "combinatorics"

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Sum $sum_{(k_1, k_2, k_3): k_1+k_2+k_3=K, ,, n_1+n_2+n_3=N}k_1^{n_1}times k_2^{n_2} times k_3^{n_3}$

0 answer

Mathematics Asked 2 years ago

An illusionist and their assistant are about to perform the following magic trick

2 answer

Mathematics Asked 2 years ago

Add smaller Hamiltonian circuits to make bigger one

0 answer

Mathematics Asked 2 years ago by correaswebert

Tic-tac-toe with one mark type

1 answer

Mathematics Asked 2 years ago

Proof of $sum_{k=0}^m binom{n}{k}(-1)^k = (-1)^m binom{n-1}{m}$ for $n > m geq 0$

5 answer

Mathematics Asked 2 years ago by NotEinstein

Calculate the total possible number of combinations out of x permutations, that's would sum to the same value.

1 answer

Mathematics Asked 2 years ago by NRApps

Prove that $xge n(n-1)(n-3)/8$, where $x$ is the number of $4$-cycles in a graph on $n$ vertices with at least $frac12binom{n}{2}$ edges.

2 answer

Mathematics Asked 2 years ago by shakir

Do sparse graphs contain regular pairs?

1 answer

Mathematics Asked 2 years ago by alpmu

Verify a Superpermutation

20 answer

Code Golf Asked 2 years ago

Stars and bars but with distinct objects

4 answer

Mathematics Asked 2 years ago

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