What does this C symbol mean?
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Problem from China Olympiad
What does the capital C symbol mean?
combinatorics elementary-set-theory notation
edited Nov 17 at 2:26
Parcly Taxel
41k137198
asked Nov 17 at 2:08
mathExplorer
82
add a comment |
up vote
1
down vote
favorite
Problem from China Olympiad
What does the capital C symbol mean?
combinatorics elementary-set-theory notation
edited Nov 17 at 2:26
Parcly Taxel
41k137198
asked Nov 17 at 2:08
mathExplorer
82
2
Probably binomial coefficient (combinations, sometimes written as ${}_n C_r$)
– Hayden
Nov 17 at 2:11
1
The binomial coefficient
– BAI
Nov 17 at 2:11
$mathrm{C}_n^k$ refers to the binomial coefficient $binom{n}{k}$.
– Sangchul Lee
Nov 17 at 2:11
The larger number appears on the top and smaller on the bottom for that symbol.
– mathExplorer
Nov 17 at 2:11
2
I will point out that there are a good dozen or so notations for the binomial coefficient. Some people notate it as $C^n_k$ while other people notate it as $C^k_n$, both to mean the algebraic expression $frac{n!}{k!(n-k)!}$. It is unfortunate that there are so many conflicting notations, which is why I strongly recommend swapping to the superior and the seemingly more common notation $binom{n}{k}$ to avoid confusion.
– JMoravitz
Nov 17 at 2:13
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Problem from China Olympiad
What does the capital C symbol mean?
combinatorics elementary-set-theory notation
edited Nov 17 at 2:26
Parcly Taxel
41k137198
asked Nov 17 at 2:08
mathExplorer
82
Problem from China Olympiad
What does the capital C symbol mean?
combinatorics elementary-set-theory notation
combinatorics elementary-set-theory notation
edited Nov 17 at 2:26
Parcly Taxel
41k137198
asked Nov 17 at 2:08
mathExplorer
82
edited Nov 17 at 2:26
Parcly Taxel
41k137198
asked Nov 17 at 2:08
mathExplorer
82
edited Nov 17 at 2:26
Parcly Taxel
41k137198
edited Nov 17 at 2:26
Parcly Taxel
41k137198
edited Nov 17 at 2:26
Parcly Taxel
41k137198
41k137198
asked Nov 17 at 2:08
mathExplorer
82
asked Nov 17 at 2:08
mathExplorer
82
asked Nov 17 at 2:08
mathExplorer
82
82
2
Probably binomial coefficient (combinations, sometimes written as ${}_n C_r$)
– Hayden
Nov 17 at 2:11
1
The binomial coefficient
– BAI
Nov 17 at 2:11
$mathrm{C}_n^k$ refers to the binomial coefficient $binom{n}{k}$.
– Sangchul Lee
Nov 17 at 2:11
The larger number appears on the top and smaller on the bottom for that symbol.
– mathExplorer
Nov 17 at 2:11
2
I will point out that there are a good dozen or so notations for the binomial coefficient. Some people notate it as $C^n_k$ while other people notate it as $C^k_n$, both to mean the algebraic expression $frac{n!}{k!(n-k)!}$. It is unfortunate that there are so many conflicting notations, which is why I strongly recommend swapping to the superior and the seemingly more common notation $binom{n}{k}$ to avoid confusion.
– JMoravitz
Nov 17 at 2:13
add a comment |
2
Probably binomial coefficient (combinations, sometimes written as ${}_n C_r$)
– Hayden
Nov 17 at 2:11
1
The binomial coefficient
– BAI
Nov 17 at 2:11
$mathrm{C}_n^k$ refers to the binomial coefficient $binom{n}{k}$.
– Sangchul Lee
Nov 17 at 2:11
The larger number appears on the top and smaller on the bottom for that symbol.
– mathExplorer
Nov 17 at 2:11
2
I will point out that there are a good dozen or so notations for the binomial coefficient. Some people notate it as $C^n_k$ while other people notate it as $C^k_n$, both to mean the algebraic expression $frac{n!}{k!(n-k)!}$. It is unfortunate that there are so many conflicting notations, which is why I strongly recommend swapping to the superior and the seemingly more common notation $binom{n}{k}$ to avoid confusion.
– JMoravitz
Nov 17 at 2:13
2
2
Probably binomial coefficient (combinations, sometimes written as ${}_n C_r$)
– Hayden
Nov 17 at 2:11
Probably binomial coefficient (combinations, sometimes written as ${}_n C_r$)
– Hayden
Nov 17 at 2:11
1
1
The binomial coefficient
– BAI
Nov 17 at 2:11
The binomial coefficient
– BAI
Nov 17 at 2:11
$mathrm{C}_n^k$ refers to the binomial coefficient $binom{n}{k}$.
– Sangchul Lee
Nov 17 at 2:11
$mathrm{C}_n^k$ refers to the binomial coefficient $binom{n}{k}$.
– Sangchul Lee
Nov 17 at 2:11
The larger number appears on the top and smaller on the bottom for that symbol.
– mathExplorer
Nov 17 at 2:11
The larger number appears on the top and smaller on the bottom for that symbol.
– mathExplorer
Nov 17 at 2:11
2
2
I will point out that there are a good dozen or so notations for the binomial coefficient. Some people notate it as $C^n_k$ while other people notate it as $C^k_n$, both to mean the algebraic expression $frac{n!}{k!(n-k)!}$. It is unfortunate that there are so many conflicting notations, which is why I strongly recommend swapping to the superior and the seemingly more common notation $binom{n}{k}$ to avoid confusion.
– JMoravitz
Nov 17 at 2:13
I will point out that there are a good dozen or so notations for the binomial coefficient. Some people notate it as $C^n_k$ while other people notate it as $C^k_n$, both to mean the algebraic expression $frac{n!}{k!(n-k)!}$. It is unfortunate that there are so many conflicting notations, which is why I strongly recommend swapping to the superior and the seemingly more common notation $binom{n}{k}$ to avoid confusion.
– JMoravitz
Nov 17 at 2:13
add a comment |
1 Answer
1
active
oldest
votes
up vote
1
down vote
accepted
It is the binomial coefficient. There are 3 ways to write it in China:
In mainland, we prefer
$$C_n^r=frac{n!}{r!(n-r)!}.$$In Hong Kong, we prefer
$$nCr=C_r^n=frac{n!}{r!(n-r)!}.$$
All are acceptable.
answered Nov 17 at 2:16
Tianlalu
2,8811935
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
It is the binomial coefficient. There are 3 ways to write it in China:
In mainland, we prefer
$$C_n^r=frac{n!}{r!(n-r)!}.$$In Hong Kong, we prefer
$$nCr=C_r^n=frac{n!}{r!(n-r)!}.$$
All are acceptable.
answered Nov 17 at 2:16
Tianlalu
2,8811935
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
add a comment |
up vote
1
down vote
accepted
It is the binomial coefficient. There are 3 ways to write it in China:
In mainland, we prefer
$$C_n^r=frac{n!}{r!(n-r)!}.$$In Hong Kong, we prefer
$$nCr=C_r^n=frac{n!}{r!(n-r)!}.$$
All are acceptable.
answered Nov 17 at 2:16
Tianlalu
2,8811935
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
add a comment |
up vote
1
down vote
accepted
up vote
1
down vote
accepted
It is the binomial coefficient. There are 3 ways to write it in China:
In mainland, we prefer
$$C_n^r=frac{n!}{r!(n-r)!}.$$In Hong Kong, we prefer
$$nCr=C_r^n=frac{n!}{r!(n-r)!}.$$
All are acceptable.
answered Nov 17 at 2:16
Tianlalu
2,8811935
It is the binomial coefficient. There are 3 ways to write it in China:
In mainland, we prefer
$$C_n^r=frac{n!}{r!(n-r)!}.$$In Hong Kong, we prefer
$$nCr=C_r^n=frac{n!}{r!(n-r)!}.$$
All are acceptable.
answered Nov 17 at 2:16
Tianlalu
2,8811935
answered Nov 17 at 2:16
Tianlalu
2,8811935
answered Nov 17 at 2:16
Tianlalu
2,8811935
answered Nov 17 at 2:16
Tianlalu
2,8811935
2,8811935
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
add a comment |
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
As a student studying maths in Hong Kong, I do not see the preference.
– Szeto
Nov 17 at 4:17
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
@Szeto There is a high school elective course (mathematics extended part module 2) that teaches the symbol $C_r^n$. HKDSE would mark the notation $C_n^r$ zero. Nonetheless, the notations don't really matter in the University in HK.
– Tianlalu
Nov 17 at 4:31
add a comment |
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2
Probably binomial coefficient (combinations, sometimes written as ${}_n C_r$)
– Hayden
Nov 17 at 2:11
1
The binomial coefficient
– BAI
Nov 17 at 2:11
$mathrm{C}_n^k$ refers to the binomial coefficient $binom{n}{k}$.
– Sangchul Lee
Nov 17 at 2:11
The larger number appears on the top and smaller on the bottom for that symbol.
– mathExplorer
Nov 17 at 2:11
2
I will point out that there are a good dozen or so notations for the binomial coefficient. Some people notate it as $C^n_k$ while other people notate it as $C^k_n$, both to mean the algebraic expression $frac{n!}{k!(n-k)!}$. It is unfortunate that there are so many conflicting notations, which is why I strongly recommend swapping to the superior and the seemingly more common notation $binom{n}{k}$ to avoid confusion.
– JMoravitz
Nov 17 at 2:13