SOLUTION: how many ways are there to choose 8 coins from pile containing 100 identical pennies and 80 identical nickels???

Since all of each of the two kinds of coins are indistinguishable,
there are only these 9 ways of choosing a group of 8 coins
which are distinguishable:

1. 0 pennies and 8 nickels.
2. 1 penny and 7 nickels.
3. 2 pennies and 6 nickels.
4. 3 pennies and 5 nickels.
5. 4 pennies and 4 nickels.
6. 5 pennies and 3 nickels.
7. 6 pennies and 2 nickels.
8. 7 pennies and 1 nickel.
9. 8 pennies and 0 nickels.

Edwin