List questions from binomial-coefficients

Published on 11 Apr 2026 - 10:55

31

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Understanding an application of Legendre's Formula as used in the proof of Bertrand's Postulate

Published on 10 Apr 2026 - 19:34

67

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compute $\sum_{k=0}^{n} \frac{{(-1)^k}}{k+1}{n \choose k}$.

Published on 14 Apr 2026 - 12:26

62

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Seeking help to Prove The Recursive Binomial Coefficient Formula

Published on 07 Apr 2026 - 19:26

418

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Number of elements in set $S = \{(x,y,z): x,y,z \in \mathbb{Z}, x+2y+3z=42, x,y,z \ge 0\}$ is?

Published on 13 Apr 2026 - 18:51

53

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The question is in how many ways you can express a natural number with sum of only 1 and 2

Published on 14 Apr 2026 - 16:27

40

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Summing a binomial series that arose while counting functions

Published on 14 Apr 2026 - 3:40

129

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How to find all positive integers $n,k$ such that ${n\choose k}=m$ for a given $m$?

Published on 16 Apr 2026 - 9:41

80

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Does $\sum\limits_{k=5}^n\binom{k-3}2\binom{k-1}3$ have a closed form?

Published on 14 Apr 2026 - 20:42

40

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Cardinality Relations in Set Theory: Pairs and Binomial Identity

Published on 11 Apr 2026 - 16:23

77

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Sum related to Binomial Coefficients

Published on 14 Apr 2026 - 15:09

107

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Given any number of $n$-sided dice, the probability of rolling a sum of $k$ will not exceed $2/n$.

Published on 14 Apr 2026 - 18:18

42

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Binomial sum arising in a simple probability calculation

Published on 12 Apr 2026 - 12:44

91

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Problem involving determinants and binomial coefficients

Published on 13 Apr 2026 - 13:36

80

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Can a positive integer x be written as the sum of y consecutive positive integers?

Published on 11 Apr 2026 - 5:36

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How many bit strings of length n contain more 0’s than 1’s?

Understanding an application of Legendre's Formula as used in the proof of Bertrand's Postulate

compute $\sum_{k=0}^{n} \frac{{(-1)^k}}{k+1}{n \choose k}$.

Seeking help to Prove The Recursive Binomial Coefficient Formula

Number of elements in set $S = \{(x,y,z): x,y,z \in \mathbb{Z}, x+2y+3z=42, x,y,z \ge 0\}$ is?

The question is in how many ways you can express a natural number with sum of only 1 and 2

Summing a binomial series that arose while counting functions

How to find all positive integers $n,k$ such that ${n\choose k}=m$ for a given $m$?

Does $\sum\limits_{k=5}^n\binom{k-3}2\binom{k-1}3$ have a closed form?

Cardinality Relations in Set Theory: Pairs and Binomial Identity

Sum related to Binomial Coefficients

Given any number of $n$-sided dice, the probability of rolling a sum of $k$ will not exceed $2/n$.

Binomial sum arising in a simple probability calculation

Problem involving determinants and binomial coefficients

Can a positive integer x be written as the sum of y consecutive positive integers?

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