This question can be considered as division of 4 distinct items into three groups.
one way of grouping - {4},{0},{0} no of ways= 1
second way - {3},{1},{0} no of ways=4!/3!
third way - {2},{2},{0} no of ways=4!/2!2!*1/2!
fourth way={1},{1},{2} no of ways=4!/2!2!
Total ways=14