your method is not wrong but just a little

mistake

you siad that no couple come in one match

you proceeded correctly

5............men

5..............women

so no of ways

5*4

correct

for selecting second team

you chose

4 men but you forgot that the wife you selected in first team has his husband out in the group still so you can ttake that men

4-1

no you canchoose 3 men

 

same for the men you choose first team

his wife is out

so 4-1=3

now no of way is 3-1=2 ...........leaving the wife of hus.       selected insecond team

 

5*4*3*2=120

 

 

but you see that teams can be interchanged

120/2=60

 

cheer up!!!!