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combinatorics

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Score Activity Newest

4

Determine the number of odd binomial coefficients in the expansion of $(x+y)^{1000}$.

Dec 17, 2022

4

Conjecture about prime numbers and fibonacci numbers

Aug 22

3

Solving $\cos\phi\cos(2\theta - \phi)+\sin(\theta - \phi)\sin(\theta + \phi)=0$ for $\theta$

Aug 25

3

closed form expression for the summation $\sum_{i=0}^{\infty}\binom{i+k}{i}x^ii^t$

Aug 25

2

What is the probability that the sum of 6 four-sided dice is less than or equal to 14?

Jan 28

Questions

Score Activity Newest Views

14

Is the decimal part of $\exp (\pi \sqrt{n})$ dense on the interval $(0,1)$?

Dec 17, 2022

6

What is the probability that the circumscribed circle $B$ of three randomly selected points within a circle $A$ will be included in circle $A$?

Apr 2

5

Can we fill the table such that the number in each field is equal to the sum of the numbers in all the fields with adjacent edges?

Dec 17, 2022

4

The number of placement of $n$ pieces on the chessboard of $n\times n$, such that the piece $k$ cannot be placed in the $k$-th row nor $k$-th column

Dec 18, 2022

1

Demonstration of relation between Major index and Inversion Number of Permutations

Aug 9

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combinatorics

17

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30

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binomial-coefficients

7

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4

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graph-theory

6

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10

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contest-math

6

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2

posts

elementary-number-theory

4

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2

posts

Reputation

+2

What are the orthogonal trajectories of $y=C \sin x$?

+2

How to model and solve Size pack optimization problem?

+2

Find the average value of the function $f(x,y)=cos((y-x)/(y+x))$ on the trapezoidal region with vertices $(1,0),(2,0),(0,2), \text{ and } (0,1)$.

+2

Looking for a better proof in $\mathbb{Z}/11\mathbb{Z}$

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