oO I found my mistake. I wasnt counting the no. of handshakes of an American wife and the American husbands except her own, I just thought American wives dont shake hands with the American males. :\

So that adds 4*5 = 20 to the answer and I get 135 handshakes.

computer 001 , you forgot the cases where the Americans and Indians shake hands among themselves. So that adds 4* 5C2 to your answer.