Shrek is love. Shrek is life

Discrete Mathematics Level 5

You are given that \[\text{Shrek is love}\] and \[\text{Shrek is life}\] Thus, \[\text{Love is life}\] don't you agree? But let's make this more mathematical shall we? We are given the equation \[LOVE + IS = LIFE.\] How many different combinations are there for this equation?

Details and Assumptions

  • Each distinct letter stands for a distinct number.

  • The first digit of a number cannot be 0.

  • As long as one alphabet stands for a different number than another combination, it is considered a new combination.

Example: \(294+80=374\) and \(296+80=376\) are 2 different combinations (of course, not for this equation).


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