Question

Probability question: calculating probability of attendance in training camp.

score 322 · Answer 1 · 2018-11-26 10:53:54

322

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Probability question: calculating probability of attendance in training camp.

Published on 26 Nov 2018 - 10:53

score 307 · Answer 2 · 2026-03-25 06:21:41

307

Views

Weighted sum of product of binomial coefficients

Published on 25 Mar 2026 - 6:21

score 71 · Answer 3 · 2018-11-29 22:07:30

71

Views

One term of (2π+5)^n = 288000π^8, what's n?

Published on 29 Nov 2018 - 22:07

score 276 · Answer 4 · 2018-12-01 04:45:22

276

Views

Question based on binomial theorem and complex numbers.

Published on 01 Dec 2018 - 4:45

score 109 · Answer 5 · 2018-12-05 01:11:38

109

Views

How to expand $x^{1/3}-c^{1/3}$ into $(x-c)y$ for some $y$

Published on 05 Dec 2018 - 1:11

score 58 · Answer 6 · 2018-12-06 05:46:02

58

Views

Complex number identity question

Published on 06 Dec 2018 - 5:46

score 56 · Answer 7 · 2026-03-22 11:34:07

56

Views

Let n belongs to +ve integer and $(1+x+x^2)^n=\sum_{r=0}^{2n} {a_rx^r}$ prove that: $a_r=a_{0<r<2n}$

Published on 22 Mar 2026 - 11:34

score 1.2k · Answer 8 · 2018-12-07 16:36:27

1.2k

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What is the coefficient of $x^{11}$ in $(3x-9)^{19}$?

Published on 07 Dec 2018 - 16:36

score 42 · Answer 9 · 2018-12-09 19:27:22

42

Views

Proof $\mid(a - b)^{\frac{1}{n}}\mid \leqslant \mid a^{\frac{1}{n}} - b^{\frac{1}{n}}\mid$

Published on 09 Dec 2018 - 19:27

score 553 · Answer 10 · 2018-12-14 15:25:47

553

Views

How to find the greatest absolute term in a binomial expansion

Published on 14 Dec 2018 - 15:25

score 60 · Answer 11 · 2018-12-15 10:04:05

60

Views

Using binomial Theorem how we can show $\frac{(x+y)!}{x!y!}\leq \frac{(x+y)^{x+y}}{x^xy^y}$?

Published on 15 Dec 2018 - 10:04

score 111 · Answer 12 · 2026-03-26 04:53:52

111

Views

Evaluate:$\frac{1}{2^{101}}\sum_{k=1}^{51} \sum_{r=0}^{k-1}\binom{51}{k}\binom{50}{r}$

Published on 26 Mar 2026 - 4:53

score 33 · Answer 13 · 2018-12-17 13:19:56

33

Views

Confused on deciding whether its Negative Binomial or Binomial and Negative Hypergeometric or Geometric

Published on 17 Dec 2018 - 13:19

score 97 · Answer 14 · 2018-12-21 10:33:24

97

Views

Combinatorial Proof for the equation $\sum_{i=0}^j {j \choose i} 2^{j-i} = 3^j$

Published on 21 Dec 2018 - 10:33

score 540 · Answer 15 · 2018-12-24 17:42:36

540

Views

Prove that $\sum_{k = 0}^{49}(-1)^k\binom{99}{2k} = -2^{49}$

Published on 24 Dec 2018 - 17:42

List Question

Probability question: calculating probability of attendance in training camp.

Weighted sum of product of binomial coefficients

One term of (2π+5)^n = 288000π^8, what's n?

Question based on binomial theorem and complex numbers.

How to expand $x^{1/3}-c^{1/3}$ into $(x-c)y$ for some $y$

Complex number identity question

Let n belongs to +ve integer and $(1+x+x^2)^n=\sum_{r=0}^{2n} {a_rx^r}$ prove that: $a_r=a_{0<r<2n}$

What is the coefficient of $x^{11}$ in $(3x-9)^{19}$?

Proof $\mid(a - b)^{\frac{1}{n}}\mid \leqslant \mid a^{\frac{1}{n}} - b^{\frac{1}{n}}\mid$

How to find the greatest absolute term in a binomial expansion

Using binomial Theorem how we can show $\frac{(x+y)!}{x!y!}\leq \frac{(x+y)^{x+y}}{x^xy^y}$?

Evaluate:$\frac{1}{2^{101}}\sum_{k=1}^{51} \sum_{r=0}^{k-1}\binom{51}{k}\binom{50}{r}$

Confused on deciding whether its Negative Binomial or Binomial and Negative Hypergeometric or Geometric

Combinatorial Proof for the equation $\sum_{i=0}^j {j \choose i} 2^{j-i} = 3^j$

Prove that $\sum_{k = 0}^{49}(-1)^k\binom{99}{2k} = -2^{49}$

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