Question

Finding the number of terms in $(1+x)^{100}+(1+x^2)^{100}+ (1+x^3)^{100}$

score 784 · Answer 1 · 2021-05-01 19:33:15

784

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Finding the number of terms in $(1+x)^{100}+(1+x^2)^{100}+ (1+x^3)^{100}$

Published on 01 May 2021 - 19:33

score 113 · Answer 2 · 2026-03-26 17:51:25

113

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How to apply Multinomial Theorem here?

Published on 26 Mar 2026 - 17:51

score 76 · Answer 3 · 2021-05-05 05:30:29

76

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Why does $(6+i)^3 = 198+107i$?

Published on 05 May 2021 - 5:30

score 106 · Answer 4 · 2021-05-07 15:05:57

106

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Binomial Formula evaluation for the problem $9 \mid 10^k - 1$ for $k \in \mathbb{N}$

Published on 07 May 2021 - 15:05

score 40 · Answer 5 · 2021-05-07 18:11:47

40

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Is the Binomial Theorem extendable to other fields?

Published on 07 May 2021 - 18:11

score 101 · Answer 6 · 2021-05-08 14:50:44

101

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How does this vandermonde identity proof works?

Published on 08 May 2021 - 14:50

score 44 · Answer 7 · 2026-03-29 12:41:34

44

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Modified exponential summation

Published on 29 Mar 2026 - 12:41

score 141 · Answer 8 · 2021-05-11 10:36:29

141

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How can we prove the identity $\sum_{r=0, r~ even}^{k}\binom{k}{r}\binom{r}{r/2}2^{k-r}=\binom{2k}{k}$?

Published on 11 May 2021 - 10:36

score 123 · Answer 9 · 2026-02-23 15:08:15

123

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For $(1 + x + x^2)^6$, find the term which has $x^6$ in it.

Published on 23 Feb 2026 - 15:08

score 91 · Answer 10 · 2026-03-27 14:53:46

91

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How many terms are there containing the term $xyk^2$ in the expansion of $(2x-y+t+3z+4k)^8$

Published on 27 Mar 2026 - 14:53

score 200 · Answer 11 · 2021-05-14 17:03:48

200

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How do I know if a Binomial model is appropriate?

Published on 14 May 2021 - 17:03

score 888 · Answer 12 · 2021-05-17 14:30:57

888

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Probability of drawing n balls of same color in case of groups of identical balls .

Published on 17 May 2021 - 14:30

score 46 · Answer 13 · 2021-05-17 15:26:11

46

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closed form of a summation with binomial coefficients

Published on 17 May 2021 - 15:26

score 56 · Answer 14 · 2021-05-22 08:57:58

56

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If n is a natural number, how can I show that the following expression is also a natural number?

Published on 22 May 2021 - 8:57

score 158 · Answer 15 · 2021-05-25 18:02:20

158

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normal Binomial Expansion and commutativity

Published on 25 May 2021 - 18:02

List Question

Finding the number of terms in $(1+x)^{100}+(1+x^2)^{100}+ (1+x^3)^{100}$

How to apply Multinomial Theorem here?

Why does $(6+i)^3 = 198+107i$?

Binomial Formula evaluation for the problem $9 \mid 10^k - 1$ for $k \in \mathbb{N}$

Is the Binomial Theorem extendable to other fields?

How does this vandermonde identity proof works?

Modified exponential summation

How can we prove the identity $\sum_{r=0, r~ even}^{k}\binom{k}{r}\binom{r}{r/2}2^{k-r}=\binom{2k}{k}$?

For $(1 + x + x^2)^6$, find the term which has $x^6$ in it.

How many terms are there containing the term $xyk^2$ in the expansion of $(2x-y+t+3z+4k)^8$

How do I know if a Binomial model is appropriate?

Probability of drawing n balls of same color in case of groups of identical balls .

closed form of a summation with binomial coefficients

If n is a natural number, how can I show that the following expression is also a natural number?

normal Binomial Expansion and commutativity

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