Question

What's the formula for number of configurations to five shapes with colors

score 1.4k · Answer 1 · 2016-12-19 22:23:10

1.4k

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What's the formula for number of configurations to five shapes with colors

Published on 19 Dec 2016 - 22:23

score 823 · Answer 2 · 2016-12-21 16:01:30

823

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Prime divisors of $60!$

Published on 21 Dec 2016 - 16:01

score 159 · Answer 3 · 2016-12-21 16:05:16

159

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What is $0!$ in base $4$?

Published on 21 Dec 2016 - 16:05

score 161 · Answer 4 · 2016-12-21 17:10:05

161

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Why is $(n+1)^{n-1}(n+2)^n>3^n(n!)^2$

Published on 21 Dec 2016 - 17:10

score 520 · Answer 5 · 2016-12-21 20:22:27

How to find the largest integer $n$ for which $n!$ can be expressed as the product of $n - 3$ consecutive integers

score 127 · Answer 6 · 2016-12-22 15:09:49

127

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Induction proof $n!>2n$ for all integers $n>3$

Published on 22 Dec 2016 - 15:09

score 2k · Answer 7 · 2016-12-23 15:32:10

2k

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What is the remainder left after dividing $1! + 2! + 3! + ... + 100!$ by $5$?

Published on 23 Dec 2016 - 15:32

score 32 · Answer 8 · 2016-12-25 10:52:01

32

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Show that $s(1)=1$, $s(n)=s(n-1)+lcm[n,s(n-1)]+n=(n+1)!-1$, for $n\ge2$

Published on 25 Dec 2016 - 10:52

score 932 · Answer 9 · 2016-12-26 06:15:38

932

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Is $x!-(x-1)!-(x-2)!-...-1!$ always divisible by three?

Published on 26 Dec 2016 - 6:15

score 9.3k · Answer 10 · 2026-03-28 10:55:41

9.3k

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What is pi factorial?

Published on 28 Mar 2026 - 10:55

score 84 · Answer 11 · 2016-12-28 11:08:43

84

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how to evaluate this sum of binomial coefficients

Published on 28 Dec 2016 - 11:08

score 67 · Answer 12 · 2016-12-28 15:18:27

67

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Factorization of an integer and then taking the factorial of each element

Published on 28 Dec 2016 - 15:18

score 611 · Answer 13 · 2016-12-29 18:03:51

611

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What is the remainder when $N = (1! + 2! + 3! + 4! + ........... + 1000! )^{40}$ is divided by $10?$

Published on 29 Dec 2016 - 18:03

score 2.2k · Answer 14 · 2016-12-30 17:52:05

2.2k

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Find the remainder of $51!$ when divided by $61$?

Published on 30 Dec 2016 - 17:52

score 754 · Answer 15 · 2026-03-31 09:07:19

754

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Proof without induction of the inequalities related to product $\prod\limits_{k=1}^n \frac{2k-1}{2k}$

Published on 31 Mar 2026 - 9:07

List Question

What's the formula for number of configurations to five shapes with colors

Prime divisors of $60!$

What is $0!$ in base $4$?

Why is $(n+1)^{n-1}(n+2)^n>3^n(n!)^2$

How to find the largest integer $n$ for which $n!$ can be expressed as the product of $n - 3$ consecutive integers

Induction proof $n!>2n$ for all integers $n>3$

What is the remainder left after dividing $1! + 2! + 3! + ... + 100!$ by $5$?

Show that $s(1)=1$, $s(n)=s(n-1)+lcm[n,s(n-1)]+n=(n+1)!-1$, for $n\ge2$

Is $x!-(x-1)!-(x-2)!-...-1!$ always divisible by three?

What is pi factorial?

how to evaluate this sum of binomial coefficients

Factorization of an integer and then taking the factorial of each element

What is the remainder when $N = (1! + 2! + 3! + 4! + ........... + 1000! )^{40}$ is divided by $10?$

Find the remainder of $51!$ when divided by $61$?

Proof without induction of the inequalities related to product $\prod\limits_{k=1}^n \frac{2k-1}{2k}$

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