There are 5 accents in French, each applicable to only specific letters as follows:
[*] The cédille: ç
[*] The accent aigu: é
[*] The accent circonflexe: â, ê, î, ô, û
[*] The accent grave: à, è, ù
[*] The accent tréma: ë, ö, ü
Cédric needs to write down a phrase in French. He knows that there are 3 words in the phrase and that the letters appear in the order: cesontoiseaux. He does not remember what the words are and which letters have what accents in the phrase. If n is the number of possible phrases that he could write down, then determine the number of distinct primes in the prime factorization of n. number theoryprime factorization