A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?
Options:
A . 12
B . 48
C . 36
D . 42
Answer: Option D MARRIED COUPLES = MF MF MF MF AB CD EF GH POSSIBLE TEAMS = AD CB EB GB AF CF ED GD AH CH EH GF S SINCE ONE MALE CAN BE PAIRED WITH 3 OTHER FEMALE, TOTAL TEAMS = 4×3 = 12. TEAM AD CAN PLAY ONLY WITH CB,CF,CH,EB,EH,GB,GF(7 TEAMS ) TEAM AD CANNOT PLAY WITH AF, AH, ED AND GD THE SAME WILL APPLY WITH ALL TEAMS, SO NUMBER OF TOTAL MATCHES = 12×7 = 84. BUT EVERY MATCH INCLUDES 2 TEAMS, SO THE ACTUAL NUMBER OF MATCHES = 84/2 = 42.
Submit Comment/FeedBack