# 7^20 is so big

**Number Theory**Level 3

Find the number of ordered pairs \((m,n)\) from the set of natural numbers from 1 to 20 such that \(3^m + 7^n \) which is divisible by 10.

Find the number of ordered pairs \((m,n)\) from the set of natural numbers from 1 to 20 such that \(3^m + 7^n \) which is divisible by 10.

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