User Not a Salmon Fish - Mathematics Stack Exchange

9 votes

2 answers

261 views

Selecting identical and distinguishable balls when the order matters

asked Jul 17, 2021 at 16:56

5 votes

1 answer

183 views

Distributing $10$ indistinguishable cars, $12$ indistinguishable balls, $14$ indistinguishable teddy bears to $3$ children, each have exactly $7$ toys

asked Nov 10, 2021 at 21:19

5 votes

1 answer

132 views

Simplifying $ 1^5+2^5+3^5+\dots+14^5+15^5 \pmod{13} $

asked Sep 1, 2020 at 8:15

5 votes

2 answers

450 views

find the number of possible positive integer solutions when the inequality is $a \times b \times c \lt 180$

asked Jan 26, 2021 at 12:03

5 votes

3 answers

280 views

find the remainder for $\color{purple}{TETRATION}$ such that $( {^{2021}2021}(\mod13))$

asked Jan 28, 2021 at 18:26

4 votes

3 answers

220 views

What is the last digit of $.....\Biggl(\biggl(\Bigl(\bigl((7)^7\bigr)^7\Bigr)^7\biggr)^7\Biggr)^7 ......$

asked Jan 4, 2021 at 6:35

4 votes

3 answers

796 views

Why are we using combination in probability question when the objects are identical?

asked Nov 3, 2021 at 6:08

3 votes

2 answers

195 views

Finding recursive relation by using Goulden- Jackson method

asked Jun 10, 2021 at 16:49

3 votes

4 answers

674 views

Finding recurrence relation that contain and do not contain $122$ in the alphabet of $(0,1,2,3,4)$

asked Apr 10, 2021 at 13:45

3 votes

2 answers

2k views

Can negative integers be relatively prime?

asked Jul 4, 2020 at 15:30

3 votes

2 answers

349 views

Understanding confidence intervals and percentiles

asked Dec 28, 2021 at 14:14

2 votes

1 answer

146 views

Ordering distinct objects into lines and a circle

asked Mar 27, 2022 at 13:48

2 votes

5 answers

1k views

How many five-digit positive integers are there that are divisible by three?

asked May 2, 2022 at 17:49

2 votes

2 answers

150 views

Solve $x^5\equiv 4\pmod 7$ [closed]

asked Jul 12, 2020 at 19:01

2 votes

0 answers

58 views

It is wanted to create an e-mail password.It should have the following properties :

asked Jan 8, 2021 at 20:36

2 votes

0 answers

101 views

the probability that the product of all the numbers is $\color{red}{irrational}$

asked Jan 30, 2021 at 8:23

2 votes

2 answers

166 views

write five digits numbers using $0,0,0,1,1,2,2,2,2,3,3,3,4,4$.

asked Feb 3, 2021 at 17:00

2 votes

1 answer

176 views

How many solutions are there in the following equation over the natural numbers if $x_1+x_2+x_3>x_4+x_5+x_6+x_7$

asked Mar 13, 2021 at 21:00

2 votes

1 answer

91 views

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

asked May 13, 2021 at 20:01

2 votes

2 answers

1k views

Find the coefficient of ${x}^{20 }$ in ${({x}^{2}+{x}^{3}+{x}^{4}+{x}^{5}+{x}^{6})}^{5}$

asked Sep 28, 2020 at 14:13

2 votes

3 answers

313 views

Find a recurrence relation for the number of bit strings of length $n$ by Goulden-Jackson

asked Jun 11, 2021 at 19:03

2 votes

2 answers

131 views

How many ways are there to place $7$ people to $10$ seats around a circular table so that Alex and Bob in these $7$ people do not sit together?

asked Dec 4, 2021 at 12:15

2 votes

1 answer

345 views

How many non-negative integer are there for $x_1+x_2+x_3+x_4+x_5=12$ where $x_1<x_2<x_3$

asked Jun 28, 2020 at 19:31

1 vote

1 answer

96 views

Contradiction between me and my professor solution in normal app. to binomial

asked Dec 28, 2021 at 9:05

1 vote

2 answers

88 views

Combinatorics question with unequality and different subscript

asked Nov 9, 2021 at 14:52

1 vote

3 answers

1k views

How many $5$-digit numbers are there with digits $abcde$ such that $a < b < c \leq d \leq e$?

asked Aug 18, 2021 at 18:29

1 vote

1 answer

107 views

Confusion in taking negation in nested statement

asked Sep 21, 2021 at 11:22

1 vote

2 answers

70 views

Philosophy of adding extra term in combinatorics question

asked Oct 28, 2021 at 6:48

1 vote

1 answer

498 views

finding closed formula for the recurrence relations with non-constant coefficient

asked Nov 16, 2020 at 20:11

1 vote

1 answer

169 views

What is the sum of the all possible $6$ digits numbers which are chosen in the set of {$0,0,0,1,2,3,4,5,6,7,8$}

asked Dec 20, 2020 at 18:20

Stack Exchange Network

47 Questions

Selecting identical and distinguishable balls when the order matters

Distributing $10$ indistinguishable cars, $12$ indistinguishable balls, $14$ indistinguishable teddy bears to $3$ children, each have exactly $7$ toys

Simplifying $ 1^5+2^5+3^5+\dots+14^5+15^5 \pmod{13} $

find the number of possible positive integer solutions when the inequality is $a \times b \times c \lt 180$

find the remainder for $\color{purple}{TETRATION}$ such that $( {^{2021}2021}(\mod13))$

What is the last digit of $.....\Biggl(\biggl(\Bigl(\bigl((7)^7\bigr)^7\Bigr)^7\biggr)^7\Biggr)^7 ......$

Why are we using combination in probability question when the objects are identical?

Finding recursive relation by using Goulden- Jackson method

Finding recurrence relation that contain and do not contain $122$ in the alphabet of $(0,1,2,3,4)$

Can negative integers be relatively prime?

Understanding confidence intervals and percentiles

Ordering distinct objects into lines and a circle

How many five-digit positive integers are there that are divisible by three?

Solve $x^5\equiv 4\pmod 7$ [closed]

It is wanted to create an e-mail password.It should have the following properties :

the probability that the product of all the numbers is $\color{red}{irrational}$

write five digits numbers using $0,0,0,1,1,2,2,2,2,3,3,3,4,4$.

How many solutions are there in the following equation over the natural numbers if $x_1+x_2+x_3>x_4+x_5+x_6+x_7$

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

Find the coefficient of ${x}^{20 }$ in ${({x}^{2}+{x}^{3}+{x}^{4}+{x}^{5}+{x}^{6})}^{5}$

Find a recurrence relation for the number of bit strings of length $n$ by Goulden-Jackson

How many ways are there to place $7$ people to $10$ seats around a circular table so that Alex and Bob in these $7$ people do not sit together?

How many non-negative integer are there for $x_1+x_2+x_3+x_4+x_5=12$ where $x_1<x_2<x_3$

Contradiction between me and my professor solution in normal app. to binomial

Combinatorics question with unequality and different subscript

How many $5$-digit numbers are there with digits $abcde$ such that $a < b < c \leq d \leq e$?

Confusion in taking negation in nested statement

Philosophy of adding extra term in combinatorics question

finding closed formula for the recurrence relations with non-constant coefficient

What is the sum of the all possible $6$ digits numbers which are chosen in the set of {$0,0,0,1,2,3,4,5,6,7,8$}