Question 5
A beaver uses a special method to encode messages. He uses the following table to turn letters into numbers. A message's value is the sum of the values of its letters.
| Letter | A | B | C | D | E | F | G | H | I | J |
|---|---:|---:|---:|---:|---:|---:|---:|---:|---:|---:|
| Value | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 |
For example, to encode “HI” he may write “72.73”. The value of “HI” is 145. The beaver has written these messages:
HACE CEFF JADA JEDI BEDF HAGA
How many messages have the same value?
| Letter | A | B | C | D | E | F | G | H | I | J |
|---|---:|---:|---:|---:|---:|---:|---:|---:|---:|---:|
| Value | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 |
For example, to encode “HI” he may write “72.73”. The value of “HI” is 145. The beaver has written these messages:
HACE CEFF JADA JEDI BEDF HAGA
How many messages have the same value?