 ## containsBothDigits

Language/Type: Java method basics mod parameters return
Author: Marty Stepp (on 2010/12/28)

Write a method named `containsBothDigits` that accepts three integer parameters a, b, and c. Assume that a is a positive integer (greater than 0) and that b and c are single-digit numbers from 0 through 9 inclusive. Your method should return `true` if a contains both b and c among its digits, and `false` otherwise.

For example, the number 433407 contains 4, 3, 0, and 7 as its unique digits, so a call of `containsBothDigits(433407, 7, 3)` should return `true`. If b and c are the same number, your method should return `true` if that digit appears at least once among the digits; in other words, the same digit from a could match both b and c. So for example, a call of `containsBothDigits(433407, 7, 7)` should return `true`.

The following table shows several other calls to your method and their results:

Call Value Returned Reason
`containsBothDigits(12345, 2, 5)` `true` 12345 contains the digits 2 and 5
`containsBothDigits(3004955, 3, 0)` `true` 3004955 contains the digits 3 and 0
`containsBothDigits(1650, 6, 6)` `true` 12345 contains the digit 6
`containsBothDigits(12345, 1, 7)` `false` 12345 does not contain a digit 7
`containsBothDigits(42, 4, 7)` `false` 42 does not contain a digit 7

You may not use a `String` to solve this problem.