combinat - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Discrete Mathematics : Combinatorics : combinat : combinat/choose

combinat

  

choose

  

construct the combinations of a list

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

choose(n)

choose(n, m)

Parameters

n

-

list or set of objects or an non-negative integer

m

-

(optional) non-negative integer

Description

• 

If n is a list or set, then choose returns a list/set of the combinations of the list elements.  If n is a non-negative integer, it is interpreted in the same way as a list of the first n integers.

• 

If m is given, then only combinations of size m are generated; otherwise, all combinations are generated, including the empty combination, that is, the power set is generated and converted to a sorted list. Note that duplicates in the list n are taken into account.

• 

To calculate the number of combinations of n taken m at a time, use combinat[numbcomb].

• 

The command with(combinat,choose) allows the use of the abbreviated form of this command.

Examples

withcombinat:

choose3,2

1,2,1,3,2,3

(1)

choosea,a,b

,a,b,a,b,a,a,a,a,b

(2)

choosea,b,c

,a,b,c,a,b,a,c,b,c,a,b,c

(3)

choosea,b,b,c,2

a,b,a,c,b,b,b,c

(4)

See Also

binomial

combinat[numbcomb]

combinat[permute]

combine

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam