Answer:
165888
Step-by-step explanation:
Given,
Number of americans = 3,
Total way of seating americans in 3 seats = 3 !,
Number of frenchmen = 4,
Total way of seating frenchmen in 4 seats = 4 !,
Number of danes = 4
Total ways of seating danes in 4 seat = 4 !,
Also, number of Italians = 2,
Total ways of seating italians in 2 seats = 2 !,
Hence, the total ways of seating all citizens so that people with same nationality sit together = ( 3! × 4! × 4! × 2! ) × 4!
= 6 × 24 × 24 × 2 × 24
= 165888
