List questions from binomial-theorem

Published on 25 Feb 2023 - 10:10

101

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Multinomial Distribution - Compute the probability of the sample containing 6 with grade

Published on 23 Feb 2026 - 4:53

137

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Binomial expansion approximation for $\sqrt{2}$

Published on 06 Mar 2023 - 23:12

70

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Solving binomial equations with huge (and tiny) numbers.

Published on 16 Mar 2023 - 1:53

160

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Expand $\cos^a x$ in terms of $\cos kx$, $\sin mx$

Published on 20 Mar 2023 - 2:26

237

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Finding the Formula for the Catalan Numbers and Motzkin Numbers

Published on 28 Mar 2026 - 8:32

73

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Solve ${a_n} = \sum\limits_{r = 0}^n {\frac{1}{{{}^n{C_r}}}} = \frac{1}{{{}^n{C_0}}} + \frac{1}{{{}^n{C_1}}} +\ldots+ \frac{1}{{{}^n{C_n}}}$

Published on 23 Mar 2023 - 7:15

40

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Confusion about negative binomial theorem

Published on 23 Feb 2026 - 13:33

325

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Binomial Expansions having a nonzero constant term.

Published on 31 Mar 2023 - 14:28

157

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Using the binomial theorem, show that $7^n +2$ is divisible by $3$

Published on 01 Apr 2023 - 9:00

116

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$1\binom{20}1+2\binom{20}2+3\binom{20}3+\dots+19\binom{20}{19}+20\binom{20}{20}$

Published on 01 Apr 2023 - 18:29

110

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Basic sequence of $S_{-y}(\delta)$

Published on 26 Mar 2026 - 23:27

162

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Prove that $yx = qxy$ implies $(x + y)^d = x^d + y^d.$

Published on 28 Mar 2026 - 8:42

181

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Using the binomial theorem to show that $[n]$ has $2^{n-1}$ odd sized subsets

Published on 28 Mar 2026 - 4:33

46

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big O growth function of binomial coefficient C(r,k) in Concrete Mathematics book on page 163

Published on 08 Apr 2023 - 19:24

List Question

Difficulty with a Combinatorial Math problem

Multinomial Distribution - Compute the probability of the sample containing 6 with grade

Binomial expansion approximation for $\sqrt{2}$

Solving binomial equations with huge (and tiny) numbers.

Expand $\cos^a x$ in terms of $\cos kx$, $\sin mx$

Finding the Formula for the Catalan Numbers and Motzkin Numbers

Solve ${a_n} = \sum\limits_{r = 0}^n {\frac{1}{{{}^n{C_r}}}} = \frac{1}{{{}^n{C_0}}} + \frac{1}{{{}^n{C_1}}} +\ldots+ \frac{1}{{{}^n{C_n}}}$

Confusion about negative binomial theorem

Binomial Expansions having a nonzero constant term.

Using the binomial theorem, show that $7^n +2$ is divisible by $3$

$1\binom{20}1+2\binom{20}2+3\binom{20}3+\dots+19\binom{20}{19}+20\binom{20}{20}$

Basic sequence of $S_{-y}(\delta)$

Prove that $yx = qxy$ implies $(x + y)^d = x^d + y^d.$

Using the binomial theorem to show that $[n]$ has $2^{n-1}$ odd sized subsets

big O growth function of binomial coefficient C(r,k) in Concrete Mathematics book on page 163

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