1.Find the number of ways in which a mixed double tennis game can be arranged between 10 players consisting of 6 men and 4 women.
My approach : Since,if every pair of selection of men and women gives rise to 4 matches so C(6,2) * C(4,2) * 4.
2.Find the number of ways in which a mixed double game can be arranged from amongst nine married couples, if no husband and wife play in the same game.
My approach : C(9,2) * C(7,2) * 4.
Now, this two questions comes from my test paper I would be grateful if somebody check whether this is correct or not since my answers doesn't matched to the given solution in the paper.