Question

Probability: Solving a problem in two ways gives different answers

score 64 · Answer 1 · 2019-08-07 06:31:11

64

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Probability: Solving a problem in two ways gives different answers

Published on 07 Aug 2019 - 6:31

score 224 · Answer 2 · 2026-03-25 12:53:17

224

Views

Pattern related to sums of alternating binomial coefficients

Published on 25 Mar 2026 - 12:53

score 122 · Answer 3 · 2019-08-08 16:51:59

122

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Proof: $\binom{x+y+n-1}{n} = \sum_{k=0}^{n} \binom{x+n-k-1}{n-k} \binom{y+k-1}{k}$

Published on 08 Aug 2019 - 16:51

score 129 · Answer 4 · 2019-08-08 20:03:41

129

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Find an expression for $f_j(x) = {2N \choose N}^{-1}\sum_i {2j \choose i}{2N-2j \choose N-i} x^i$.

Published on 08 Aug 2019 - 20:03

score 341 · Answer 5 · 2026-03-27 23:36:01

341

Views

Sum of squares of combinations

Published on 27 Mar 2026 - 23:36

score 80 · Answer 6 · 2019-08-09 13:29:16

80

Views

Proof-verification for $\lim\limits_{n\to\infty}\frac{1}{2^n}\cdot \binom nk$ for a fixed $k\in \mathbb{N}$

Published on 09 Aug 2019 - 13:29

score 764 · Answer 7 · 2019-08-10 06:47:05

764

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How to find number of words made using letters of word 'EQUATION' if order of vowels do not change

Published on 10 Aug 2019 - 6:47

score 347 · Answer 8 · 2019-08-11 08:05:31

347

Views

Two people drawing cards, probability of both having pairs

Published on 11 Aug 2019 - 8:05

score 559 · Answer 9 · 2026-03-27 23:35:50

559

Views

Division of coefficients of terms in a binomial expansion

Published on 27 Mar 2026 - 23:35

score 95 · Answer 10 · 2026-03-27 23:32:02

95

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Find the coefficient of $x^6$ in $(2+2x+2x^2+2x^3+2x^4+x^5)^5$

Published on 27 Mar 2026 - 23:32

score 60 · Answer 11 · 2019-08-12 19:14:12

60

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Why do we use binomial coefficients when finding probabilities of outcomes of multiple coin flips?

Published on 12 Aug 2019 - 19:14

score 435 · Answer 12 · 2019-08-12 19:33:50

435

Views

Why is flipping a head then a tail a different outcome than flipping a tail then a head?

Published on 12 Aug 2019 - 19:33

score 194 · Answer 13 · 2026-03-27 05:36:24

194

Views

Show that $(a!)^b b! \mid (ab)! $

Published on 27 Mar 2026 - 5:36

score 82 · Answer 14 · 2026-03-25 16:02:19

82

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Prove $(1+x ) .K(x)= K\left(\frac{2 \sqrt{x}}{(1 + x) }\right)$ using Binomial Series

Published on 25 Mar 2026 - 16:02

score 722 · Answer 15 · 2019-08-14 19:50:54

722

Views

Binomial random variable with coin flips. How do we get the formula $P(X=h) = \binom{n}{h}p^h(1-p)^{n-h}$?

Published on 14 Aug 2019 - 19:50

List Question

Probability: Solving a problem in two ways gives different answers

Pattern related to sums of alternating binomial coefficients

Proof: $\binom{x+y+n-1}{n} = \sum_{k=0}^{n} \binom{x+n-k-1}{n-k} \binom{y+k-1}{k}$

Find an expression for $f_j(x) = {2N \choose N}^{-1}\sum_i {2j \choose i}{2N-2j \choose N-i} x^i$.

Sum of squares of combinations

Proof-verification for $\lim\limits_{n\to\infty}\frac{1}{2^n}\cdot \binom nk$ for a fixed $k\in \mathbb{N}$

How to find number of words made using letters of word 'EQUATION' if order of vowels do not change

Two people drawing cards, probability of both having pairs

Division of coefficients of terms in a binomial expansion

Find the coefficient of $x^6$ in $(2+2x+2x^2+2x^3+2x^4+x^5)^5$

Why do we use binomial coefficients when finding probabilities of outcomes of multiple coin flips?

Why is flipping a head then a tail a different outcome than flipping a tail then a head?

Show that $(a!)^b b! \mid (ab)! $

Prove $(1+x ) .K(x)= K\left(\frac{2 \sqrt{x}}{(1 + x) }\right)$ using Binomial Series

Binomial random variable with coin flips. How do we get the formula $P(X=h) = \binom{n}{h}p^h(1-p)^{n-h}$?

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