statistic and probability is is correct?

#1
Can someone tell me if this is correct?

four American, three Italians and three Germans are seated at random in a row. what is the probability that 1) those of the same nationality are seated together? 2)Germans are seated together and non-German are seated together

solution:
sample space 10!
1)3!4!3!3!/10!
2)2!4!3!3!/10!
 
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