# OK to post homework
# Michael Saunders, 10/4/2020, Homework 8
#
# load packages
#
with(combinat):

# 1.
# Examine the Maple code of Lecutre 8. Use it to get the following numbers:
#
# (i) The number of 10-letter words in the alphabet {1,4,6} that add-up to 201
#
# (ii) The number of words of any length in the alphabet {2,3,7} that add-up to
# 411
#
# (iii) The number of sequences of any length whose entries are either (1 mod 5)
# or (4 mod 5) and that add-up to 341.