Question

A man has 2 pennies, 3 nickels, 1 dime and 2 quarters. How many different sums of money can he make using one or more of these 8 coins?

Answer 1

1 dime

Answer 2

well, start listing them:

p = 1
n = 5
d = 10
q = 25

pp = 2
pn = 6
...
ppnnndqq = 77

Now count them up, after eliminating duplicate amounts