#Combinatorics #Self Doubt

Question

The number of ways of dividing 3 men and 3 women into 3 couples each consisting of a man and woman is: ____
 

Comments

why users giving down vote to show their power -_-

I try to correct my mistakes nah ??

and now i understand  properly

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i don't know, why they behave like that.

if you didn't respond on your mistake, then you are deserve to DOWN vote.

but you are responding on your mistake, then you didn't deserve to DOWN vote.

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Thank you so much @Shaik Masthan :-)

Answer 1

$T{_i} = $ Choosing woman for ith man

Task: $T{_1} -> T{_2} -> T{_i}    $

The first man has 3 options, 2nd had 2 and 3rd man has 1 option i.e. 3 * 2 * 1 =6

Alternatively,

$3 P 3 = 3! = 6.$