# Doubt from permutation and combination

**Tanmay_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

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.