The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same is:
A. 1514
B. 1512
C. 3024
D. 3028
Answer: Option B
Solution(By Examveda Team)
As per the question there are 9 married couples and no husband and wife should play in the same game: We know that in a mixed double match there are two males and two females. Step I: Two male members can be selected in 9C2 = 36 ways. Step II: Having selected two male members, 2 female members can be selected in, 7C2 = 21 ways. Step III: Two male and two female members can arranged in a particular game in 2 ways. Total number of arrangements= 36 × 21 × 2
= 1512 ways
Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
Join The Discussion