CHIKUN IS GUD FO YOODiscrete Mathematics Level 4
Ron wants to create a song that consists of the following phrases:
- "Aashyman Aashyman"
- "Jacku Jacku"
- "Carly Carly"
- "Csajah Csajah"
- "Curry Curry"
- "Chikun Chikun"
- "Nowy Nowy"
- "Ronnam Ronnam Nowy Nowy Ronnam Wisda Taichi!"
- "Eh Eh"
He wants the song to have 4 verses, and each verse to have 3 phrases. Each phrase has to appear at least once.
Moreover, he wants the phrases "Ronnam Ronnam Nowy Nowy Ronnam Wisda Taichi!", "Eh Eh"and "Chhhhhikuuuuuuuuuun" to always be the last phrase of a verse.
Let the Number of songs Ron can make be \(a\), find the remainder when the product of the non-zero digits of \(a\) is divided by 1000.
Note: this question was inspired by this awesome song