Mr. K wants to bring a variety of language textbooks to the classroom in which he teaches French. From his library at home, he found some that would be appropriate for the classroom: $4$ Russian texts, $7$ German texts, $1$ Japanese text, $2$ Italian texts, and $3$ Danish texts. If he decides to bring one book of each language to the classroom, and put them in alphabetical order by language on his bookshelf (Danish, German, Italian, and so forth), how many different ways can Mr. K arrange the new language books?