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

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$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,

$3 P 3 = 3! = 6.$

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