# Who Wants to be a Millionaire?

**Discrete Mathematics**Level 4

When you enter the "Who Wants to be a Millionaire? " competition, you are asked to write down a six-digit number \(\overline { abcdef } \). The winning number is also a six-digit number that looks like \(\overline { uvwxyz } \). If your six-digit number has at least 1 pair of consecutive digits that is exactly the same as a pair of consecutive digits from the winning number, then you are a winner! What is the least amount tickets you have to buy to ensure that you will win at least once?

*Note: \(\overline { ab } \)=\(\overline { uv } \), \(\overline { bc } \)=\(\overline { vw } \)... and \(\overline { ef } \)=\(\overline { yz } \) are valid

However, something like \(\overline { ab } \)=\(\overline {wx } \) or \(\overline { ab } \)=\(\overline { yz } \) are invalid