Question

A multinomial theorem for polynomials of one variable

score 219 · Answer 1 · 2026-04-09 22:37:06

219

Views

A multinomial theorem for polynomials of one variable

Published on 09 Apr 2026 - 22:37

score 64 · Answer 2 · 2026-04-12 08:46:00

64

Views

When not to use $\binom{n + r − 1} {r− 1}$?

Published on 12 Apr 2026 - 8:46

score 119 · Answer 3 · 2026-03-26 01:04:41

119

Views

In the multinomial expansion of $(a+b+c+d)^8$, how many terms (monomials) have coefficient $\begin{pmatrix} 8 \\ 2,4,0,2\end{pmatrix}$?

Published on 26 Mar 2026 - 1:04

score 291 · Answer 4 · 2026-04-12 21:33:07

291

Views

Five different games are to be distributed among $4$ children randomly. The probability that each child get at least one game is?

Published on 12 Apr 2026 - 21:33

score 219 · Answer 5 · 2026-04-12 04:21:29

219

Views

The proof by induction of the multinomial theorem

Published on 12 Apr 2026 - 4:21

score 98 · Answer 6 · 2026-03-26 00:58:52

98

Views

Multinomial theorem for a power series

Published on 26 Mar 2026 - 0:58

score 100 · Answer 7 · 2026-03-26 00:58:27

100

Views

Central Binomial Coefficients and Multinomial Coefficients

Published on 26 Mar 2026 - 0:58

score 139 · Answer 8 · 2026-04-16 14:46:10

139

Views

Proving the Number Theory Property: $\delta(n^k) = \delta(\delta(n)^k)$ for natural $n$ and $k$

Published on 16 Apr 2026 - 14:46

score 54 · Answer 9 · 2026-04-12 01:21:54

54

Views

Multinomial Theorem expansion in Combinations Problem

Published on 12 Apr 2026 - 1:21

score 110 · Answer 10 · 2026-04-16 05:20:55

110

Views

$(1+2x+3x^2)^{50}=a_{0}+ a_{1}x+ ... +a_{100}x^{100}$ Find ratio between $a_{51}$ and $a_{49}$.

Published on 16 Apr 2026 - 5:20

score 78 · Answer 11 · 2026-03-26 01:04:48

78

Views

If $(1+px+x^2)^n=1+a_{1}x+a_{2} x^2+....+a_{2n}x^{2n}$, then prove that $(np-pr)a_{r}=(r+1)a_{r+1}+(r-1-2n)a_{r-1}$ for $1<r<2n$

Published on 26 Mar 2026 - 1:04

score 333 · Answer 12 · 2026-04-16 19:26:09

333

Views

Why do Bell Polynomial coefficients show up here?

Published on 16 Apr 2026 - 19:26

score 78 · Answer 13 · 2026-04-16 04:18:34

78

Views

Showing the quintessential logarithm property using the Maclaurin series of $\log$

Published on 16 Apr 2026 - 4:18

score 75 · Answer 14 · 2026-04-15 20:58:28

75

Views

Number of monotonically increasing functions such that $f(i)\le i$.

Published on 15 Apr 2026 - 20:58

score 79 · Answer 15 · 2026-04-17 04:22:08

79

Views

Number of integral solutions for $x_1 + x_2 - x_3 = n$ where $n \geq x_1 , x_2 , x_3 \geq 0$

Published on 17 Apr 2026 - 4:22

List Question

A multinomial theorem for polynomials of one variable

When not to use $\binom{n + r − 1} {r− 1}$?

In the multinomial expansion of $(a+b+c+d)^8$, how many terms (monomials) have coefficient $\begin{pmatrix} 8 \\ 2,4,0,2\end{pmatrix}$?

Five different games are to be distributed among $4$ children randomly. The probability that each child get at least one game is?

The proof by induction of the multinomial theorem

Multinomial theorem for a power series

Central Binomial Coefficients and Multinomial Coefficients

Proving the Number Theory Property: $\delta(n^k) = \delta(\delta(n)^k)$ for natural $n$ and $k$

Multinomial Theorem expansion in Combinations Problem

$(1+2x+3x^2)^{50}=a_{0}+ a_{1}x+ ... +a_{100}x^{100}$ Find ratio between $a_{51}$ and $a_{49}$.

If $(1+px+x^2)^n=1+a_{1}x+a_{2} x^2+....+a_{2n}x^{2n}$, then prove that $(np-pr)a_{r}=(r+1)a_{r+1}+(r-1-2n)a_{r-1}$ for $1<r<2n$

Why do Bell Polynomial coefficients show up here?

Showing the quintessential logarithm property using the Maclaurin series of $\log$

Number of monotonically increasing functions such that $f(i)\le i$.

Number of integral solutions for $x_1 + x_2 - x_3 = n$ where $n \geq x_1 , x_2 , x_3 \geq 0$

Trending Questions

Popular # Hahtags

Popular Questions