Question

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​

Answer 1

1. In double tennis game 4 players can play.

1st case : 6C0(4C4)4!=24

2nd case: 6C1(4C3).4!=576

3rd case: 6C2(4C2).4!=2160

4th case: 6C3(4C1).4!=1920

5th case: 6C4(4C0).4!=360

so required no=24+576+2160+1920+360=5040

Answer 2

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$\it\huge\mathfrak\red{Solution}$]

Game. : - Tennis

players :- player
$<b>$]

1 case : 6C0(4C4)4=24

2 case: 6C1(4C3).4=576

3 case: 6C2(4C2)4=2160

4 case: 6C3(4C1).4=1920

5 case: 6C4(4C0).4=360

$\it\huge\mathfrak\red{Total}$]=24+576+2160+1920+360

_________=5040

$\it\huge\mathfrak\red{thanks}$]

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