Python | sympy.nT() method

With the help of sympy.nT() method, we can calculate the number of partitions that can have a given number of parts in SymPy.

Syntax: nT(items, k)

Parameters:
items – An integer, a list or a string upon which partitions is to be calculated.
k – An integer specifying the number of parts that the partition should contain.

Returns: Returns the number of partitions that have given number of parts.

Example #1:

# import sympy
from sympy import *

items = "aaa"
k = 2

print("Value of k = {} and the items are = {}".format(k, items))

# Use sympy.nT() method
partitions = nT(items, k)

print("Partitions : {}".format(partitions))

Output:

Value of k = 2 and the items are = aaa
Partitions : 1

Example #2:

# import sympy
from sympy import *

items = [1, 3, 2, 5, 4]
k = 3
print("Value of k = {} and the items are = {}".format(k, items))

# Use sympy.nT() method
partitions = nT(items, k)

print("Partitions : {}".format(partitions))

Output:

Value of k = 3 and the items are = [1, 3, 2, 5, 4]
Partitions : 25