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How do I find the number of solutions of the equation $r_1 + r_2 + .... + r_k = n$

score 133 · Answer 1 · 2026-03-21 09:08:32

133

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How do I find the number of solutions of the equation $r_1 + r_2 + .... + r_k = n$

Published on 21 Mar 2026 - 9:08

score 158 · Answer 2 · 2026-03-24 02:15:27

158

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Sum of the first k multi-nomial coefficients for fixed n

Published on 24 Mar 2026 - 2:15

score 797 · Answer 3 · 2015-12-10 06:59:45

797

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Let $f(x),g(x),h(x)$ are three differentiable functions satisfying:

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score 350 · Answer 4 · 2016-01-11 18:41:06

350

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score 96 · Answer 5 · 2016-05-20 20:09:03

96

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score 45 · Answer 6 · 2016-05-23 10:18:50

45

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score 893 · Answer 7 · 2013-04-11 18:21:09

893

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How to expand $(a_0+a_1x+a_2x^2+...a_nx^n)^2$?

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score 101 · Answer 8 · 2017-04-13 14:41:31

101

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Find the number of distinct arrangements of 5 unequal positive integers such that their sum is 20

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score 912 · Answer 9 · 2017-04-13 15:24:27

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score 12.8k · Answer 10 · 2017-04-13 18:36:02

12.8k

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The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is

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score 3.7k · Answer 11 · 2026-02-23 11:35:03

3.7k

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score 21 · Answer 12 · 2017-04-29 23:41:48

21

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score 64 · Answer 13 · 2017-05-31 13:44:00

64

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score 149 · Answer 14 · 2017-06-14 07:47:26

149

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Published on 14 Jun 2017 - 7:47

score 598 · Answer 15 · 2017-07-23 19:18:04

598

Views

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Published on 23 Jul 2017 - 19:18

List Question

How do I find the number of solutions of the equation $r_1 + r_2 + .... + r_k = n$

Sum of the first k multi-nomial coefficients for fixed n

Let $f(x),g(x),h(x)$ are three differentiable functions satisfying:

Notation for writing multinomial coefficient as sum of smaller multinomial coefficients

Letter combinatorics and probabilities

Dice role: What is the probability to observe 2 times 1 and 2 times 5 with the outcome of a fifth die role being unknown?

How to expand $(a_0+a_1x+a_2x^2+...a_nx^n)^2$?

Find the number of distinct arrangements of 5 unequal positive integers such that their sum is 20

Multinomial theorem for rational exponent in application to a trinomial

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is

Fisher information matrix for multinomial distribution

Multipole expansion of point at $z=-d$ vs point at $z=d$

An estimate of euclidean norm via multinomial theorem

multinomial distribution for unequal groups?

How many ways can we group 8 balls into groups of size 3?

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