Internal Arrangements not allowed but Multiple lettters repeating and Two Restrictions Simultaneously.

Question

Consider the word 'ASSASSINATION'. How many different arrangements are there of all the letters of the word given so that First \( A \) precedes the first \( S \) and the first \( N \) prercedes \( O \) (a) \( \frac{3 \times 13 !}{4 \times 5 !} \) (b) \( \frac{13 !}{7 \times 4 !} \) (c) \( \frac{13 ! \times 11 !}{7} \) (d) \( \frac{5 \times 13 !}{2 \times 7 !} \)