permutations and combinations

A BADMINTON CLUB HAS 10 COUPLES AS MEMBERS .THEY MEET TO ORGANISE A MIXED DOUBLE MATCH .IF EACH WIFE REFUSES TO PARTNER AS WELL AS OPPOSE HER HUSBAND IN THE MATCH THEN IN HOW MANY WAYS CAN THE MATCH BE ARRANGED??

4 Answers

11
Mani Pal Singh ·

10C2 x 8C2 X2

62
Lokesh Verma ·

good work manipal

Surbhi did you understand the proof?

first chose the 2 men

10C2 ways

then their wives cannot play

hence we have to chose 2 women from 8

hence 8C2

now we can have 2 teams for each such combination of 4 people.. (Mixed Doubles)

1
Surbhi Shah ·

thanks i got it

1
Surbhi Shah ·

can you have a look at all my other questions ? please !!

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