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There are 100 men and 100 women on the dance floor. They
want to dance with each other. Then which of the following
statements is always true:
a) There are 2 men who danced with equal no. of women’s
b) There are 2 women who danced with equal no. of men
a) both a and b b)only a c)only b d)none

Answer Posted / david

It says they "want" to dance with each other, but not that
that they actually dance with each other.

If you simplify it down to just 4 men and 4 woman.

There is a potential scenario where
Man A - Dances with 3 women
Man B - Dances with 2 women
Man C - Dances with 1 woman
Man D - Dances with 0 women

From the woman's perspective the same could occur.
So because these scenarios exist then None of the statements
are "Always true"

So the answer is d)none

Is This Answer Correct ?    33 Yes 11 No



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