What is the difference between a set and a combination?
It seems that a set is just a combination of objects, where the combination itself is regarded as another object. Since the repetition of elements in a set is not allowed, a set is a combination without repetition. And since the order of elements in a set does not matter, a set is a combination and not a permutation.
So, if a set and a combination are not the same mathematical object, what is the difference between them?
elementary-set-theory
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
asked Dec 9 at 10:18
glidingforward
61
add a comment |
It seems that a set is just a combination of objects, where the combination itself is regarded as another object. Since the repetition of elements in a set is not allowed, a set is a combination without repetition. And since the order of elements in a set does not matter, a set is a combination and not a permutation.
So, if a set and a combination are not the same mathematical object, what is the difference between them?
elementary-set-theory
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
asked Dec 9 at 10:18
glidingforward
61
2
what do you mean by combination?
– Riquelme
Dec 9 at 10:20
A combination is a selection of objects.
– glidingforward
Dec 9 at 10:22
en.wikipedia.org/wiki/Combination
– glidingforward
Dec 9 at 10:22
1
You may think of combination as an operation on a set of elements. A set is not a combination, a set is not an operation. A set is just a collection of elements.
– rsadhvika
Dec 9 at 10:28
add a comment |
It seems that a set is just a combination of objects, where the combination itself is regarded as another object. Since the repetition of elements in a set is not allowed, a set is a combination without repetition. And since the order of elements in a set does not matter, a set is a combination and not a permutation.
So, if a set and a combination are not the same mathematical object, what is the difference between them?
elementary-set-theory
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
asked Dec 9 at 10:18
glidingforward
61
It seems that a set is just a combination of objects, where the combination itself is regarded as another object. Since the repetition of elements in a set is not allowed, a set is a combination without repetition. And since the order of elements in a set does not matter, a set is a combination and not a permutation.
So, if a set and a combination are not the same mathematical object, what is the difference between them?
elementary-set-theory
elementary-set-theory
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
asked Dec 9 at 10:18
glidingforward
61
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
asked Dec 9 at 10:18
glidingforward
61
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
edited Dec 9 at 13:13
Andrés E. Caicedo
64.7k8158246
64.7k8158246
asked Dec 9 at 10:18
glidingforward
61
asked Dec 9 at 10:18
glidingforward
61
asked Dec 9 at 10:18
glidingforward
61
61
2
what do you mean by combination?
– Riquelme
Dec 9 at 10:20
A combination is a selection of objects.
– glidingforward
Dec 9 at 10:22
en.wikipedia.org/wiki/Combination
– glidingforward
Dec 9 at 10:22
1
You may think of combination as an operation on a set of elements. A set is not a combination, a set is not an operation. A set is just a collection of elements.
– rsadhvika
Dec 9 at 10:28
add a comment |
2
what do you mean by combination?
– Riquelme
Dec 9 at 10:20
A combination is a selection of objects.
– glidingforward
Dec 9 at 10:22
en.wikipedia.org/wiki/Combination
– glidingforward
Dec 9 at 10:22
1
You may think of combination as an operation on a set of elements. A set is not a combination, a set is not an operation. A set is just a collection of elements.
– rsadhvika
Dec 9 at 10:28
2
2
what do you mean by combination?
– Riquelme
Dec 9 at 10:20
what do you mean by combination?
– Riquelme
Dec 9 at 10:20
A combination is a selection of objects.
– glidingforward
Dec 9 at 10:22
A combination is a selection of objects.
– glidingforward
Dec 9 at 10:22
en.wikipedia.org/wiki/Combination
– glidingforward
Dec 9 at 10:22
en.wikipedia.org/wiki/Combination
– glidingforward
Dec 9 at 10:22
1
1
You may think of combination as an operation on a set of elements. A set is not a combination, a set is not an operation. A set is just a collection of elements.
– rsadhvika
Dec 9 at 10:28
You may think of combination as an operation on a set of elements. A set is not a combination, a set is not an operation. A set is just a collection of elements.
– rsadhvika
Dec 9 at 10:28
add a comment |
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2
what do you mean by combination?
– Riquelme
Dec 9 at 10:20
A combination is a selection of objects.
– glidingforward
Dec 9 at 10:22
en.wikipedia.org/wiki/Combination
– glidingforward
Dec 9 at 10:22
1
You may think of combination as an operation on a set of elements. A set is not a combination, a set is not an operation. A set is just a collection of elements.
– rsadhvika
Dec 9 at 10:28