code: def monomial_count(V, N):
      r"""
      Computes the number of monomials.
  
      The number of monomials is given by the following formula:
  
      .. math::
  
          \frac{(\#V + N)!}{\#V! N!}
  
      where `N` is a total degree and `V` is a set of variables.
  
      Examples
      ========
  
      >>> from sympy.polys.monomials import itermonomials, monomial_count
      >>> from sympy.polys.orderings import monomial_key
      >>> from sympy.abc import x, y
  
      >>> monomial_count(2, 2)
      6
  
      >>> M = list(itermonomials([x, y], 2))
  
      >>> sorted(M, key=monomial_key('grlex', [y, x]))
      [1, x, y, x**2, x*y, y**2]
      >>> len(M)
      6
  
      """
      from sympy.functions.combinatorial.factorials import factorial
  
      return factorial(V + N) / factorial(V) / factorial(N)
  
imports: from itertools import combinations_with_replacement, product
  from textwrap import dedent
  from sympy.core import Mul, S, Tuple, sympify
  from sympy.polys.polyerrors import ExactQuotientFailed
  from sympy.polys.polyutils import PicklableWithSlots, dict_from_expr
  from sympy.utilities import public
  from sympy.utilities.iterables import is_sequence, iterable
label_desc: Use image node_id 2 for calling a global function with example usage: monomial_count(V, N) and returns: unknown