2
$\begingroup$

Need some help with this question...

At a party $6$ boys and $6$ girls dance together. Assuming that the classical dance is performed, in which one couple (one boy and one girl), how many couples can perform together?

I know the answer is $6!$ because you take just one group (boys or girls) to assess but I don't understand the logic behind it. If someone could enlighten me I'll be very grateful.

  • 0
    Imagine that there are 3 boys and 3 girls (so the answer is $3!$). Write out all of the possible combinations of dance partners and perhaps you'll be able to see the pattern.2012-06-12

3 Answers 3