Question

Further explanation for steps of an equation that proofs that $\sum^{n}_{k=0}k\cdot \binom{n}{k}=n\cdot2^{n-1}$

score 61 · Answer 1 · 2026-04-12 19:37:26

61

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Further explanation for steps of an equation that proofs that $\sum^{n}_{k=0}k\cdot \binom{n}{k}=n\cdot2^{n-1}$

Published on 12 Apr 2026 - 19:37

score 130 · Answer 2 · 2026-04-11 14:50:18

130

Views

simplify summation with binomial coefficients

Published on 11 Apr 2026 - 14:50

score 98 · Answer 3 · 2026-03-25 13:54:08

98

Views

Developing a strategy to win a game of picking elements from $S_n$

Published on 25 Mar 2026 - 13:54

score 313 · Answer 4 · 2026-04-15 01:26:24

313

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Find the generating function for the number of ways to climb n stairs

Published on 15 Apr 2026 - 1:26

score 63 · Answer 5 · 2026-04-14 01:37:54

63

Views

What is the equivalence class for this equivalence relation?

Published on 14 Apr 2026 - 1:37

score 265 · Answer 6 · 2026-04-14 09:13:58

265

Views

A problem involving the partitioning of a finite set into equisized subsets

Published on 14 Apr 2026 - 9:13

score 96 · Answer 7 · 2026-04-07 03:55:54

96

Views

Probability of choosing a biased coin $C$ which has probability $3/15$ of getting heads, assuming we got head on the first toss

Published on 07 Apr 2026 - 3:55

score 80 · Answer 8 · 2026-04-12 19:34:36

80

Views

What is the expected number of matching pairs in a stable matching problem

Published on 12 Apr 2026 - 19:34

score 43 · Answer 9 · 2026-04-14 23:02:49

43

Views

Determine if a graph with the following characteristics exists or not

Published on 14 Apr 2026 - 23:02

score 336 · Answer 10 · 2026-04-14 23:18:28

336

Views

Proof - A tree $T$ has a vertex of degree n and the others have degree $<n$. T has at least n leaves

Published on 14 Apr 2026 - 23:18

score 798 · Answer 11 · 2026-04-10 19:25:53

798

Views

Given a transition table do digraph, determine if it is DFA or NFA and build grammar

Published on 10 Apr 2026 - 19:25

score 474 · Answer 12 · 2026-04-15 06:15:53

474

Views

Find a Closed form for the Combinatorial Sum $\sum_{k=0}^m\binom{n-k}{m-k} $ and Provide a Combinatorial Proof of the Result

Published on 15 Apr 2026 - 6:15

score 49 · Answer 13 · 2026-04-15 09:43:50

49

Views

Letters in Mailboxes so that none are in the right one

Published on 15 Apr 2026 - 9:43

score 129 · Answer 14 · 2026-04-14 08:30:16

129

Views

Word Problem Involving Generating Functions

Published on 14 Apr 2026 - 8:30

score 1.6k · Answer 15 · 2026-04-12 05:38:49

1.6k

Views

Can any proof by contrapositive be rephrased into a proof by contradiction?

Published on 12 Apr 2026 - 5:38

List Question

Further explanation for steps of an equation that proofs that $\sum^{n}_{k=0}k\cdot \binom{n}{k}=n\cdot2^{n-1}$

simplify summation with binomial coefficients

Developing a strategy to win a game of picking elements from $S_n$

Find the generating function for the number of ways to climb n stairs

What is the equivalence class for this equivalence relation?

A problem involving the partitioning of a finite set into equisized subsets

Probability of choosing a biased coin $C$ which has probability $3/15$ of getting heads, assuming we got head on the first toss

What is the expected number of matching pairs in a stable matching problem

Determine if a graph with the following characteristics exists or not

Proof - A tree $T$ has a vertex of degree n and the others have degree $<n$. T has at least n leaves

Given a transition table do digraph, determine if it is DFA or NFA and build grammar

Find a Closed form for the Combinatorial Sum $\sum_{k=0}^m\binom{n-k}{m-k} $ and Provide a Combinatorial Proof of the Result

Letters in Mailboxes so that none are in the right one

Word Problem Involving Generating Functions

Can any proof by contrapositive be rephrased into a proof by contradiction?

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