Weird Party

There are 38 married couples (a couple is a man and woman) in a party and for a game, they need to be divided into groups of 19 couples each, (i.e. a husband and a wife won't be in different groups). There are 3 men who are best friends and there are 4 women (other than the wives of the 3 men) who are best friends. The number of different groups can be made such that all the who are best friends remain in same group is n n , find the digit sum of n n


The answer is 30.

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