number of ways of dividing 13 men,13 women in to 13 couple each consist of a man and a women is?????

13^2 = 169

edit -(Forgot to put ! sign in hurry)it's factorial

Re:solve

First select 1 man and a woman

This can be done in ¹³c₁¹³c₁ ways i.e 13² ways.

Then for every of this selections select the second pair out of the 12 remaining pairs.

This can be done in ¹²c₁¹²c₁ ways i.e 12² ways. and so on....

Therefore total ways= (13²)(12²)..........(1²)= (13!)²=38775788043632640000

It's quite a large number--- isn't it?

Rate please.