# Ronaldo, Arnoldo and Ornaldo

**Computer Science**Level 4

**anagramic tuple**.

For example (Norma, Ramon, Roman) is an example of an **anagramic tuple** of size \(3\).

In names.txt, a **46K** text file containing over five-thousand first names, let the size of the largest **anagramic tuple** be \(N\). Let \(M\) be the number of **anagramic tuples** of size \(N\). What is the value of the product \(N \times M\)?

**Details and assumption**

The arrangement of the names in the tuple doesn't matter. I.e. (Tia, Tai) is the same tuple as the tuple (Tai, Tia).

All the names in an anagramic tuple are distinct.