Given 8 dimes ( $10 \phi$ coins) and 3 quarters ( $25 \phi$ coins), how many different amounts of money can be created using one or more of the 11 coins?
(A) 27
(B) 29
(C) 35
(D) 26
(E) 28
Given 8 dimes ( 10 c coins) and 3 quarters ( 25 c coins), we list the different amounts of money (in cents) that can be created in the table below.

When an amount of money already appears in the table, it has been stroked out.

Number of Dimes

| $25 c^{104}$ | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| 0 | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
| 1 | 25 | 35 | 45 | 55 | 65 | 75 | 85 | 95 | 105 |
| 2 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 |
| 3 | 75 | 85 | 95 | 105 | 115 | 125 | 135 | 145 | 155 |

We may ignore the first entry in the table, 0 , since we are required to use at least one of the 11 coins.

We are left with 27 different amounts of money that can be created using one or more of the 8 dimes and 3 quarters.

ANSWER: (A)