Doubt from permutation and combination

moderate
permutation-and-combination
find-number-of-pairs
unsolved
pp
#1

#2

Question not clear...six men and their wives that means
Six pair...p1 p2 p3 p4 p5 p6
P1 vs p2
P1 vs p3
P1 vs p4 Total 5
P1 vs p5
P1 vs p6

P2vs p3
P2 vsp4
P2 vs p5 total4
P2 vs p6

P3vs p4
P3 vsp5 total3
P3 vs p6

P4 vs p5
P4 vs p6 total2

P5 vs p6 total 1
So total game(league type, game not knock out game)=15


But if no restriction in formation of pair then results is different
6 men(m1, m2,m3, m4 ,m5 ,m6)
6 women(w1,w2,w3,w4,w5,w6)
Number of pair =6C1×6c1=36
Number of game 36C2...
Pls check ....
Still confusion in question

2 Likes
#3

Is answer 45 @Aniket_2020_2

1 Like
#4

Yeah I was also thinking the same @Tushar_2019
We have 6 people, so forming 3 groups of 2 people each, we get 15 possible ways of grouping the people. Now that multiplied by 3 since for every possible grouping, we will have 3 games to be played.

1 Like
#5

Exactly @Mayank_2019_1 bro

1 Like
#6

Yess ... thanks