There are five girls and five boys at a party In how many wa

There are five girls and five boys at a party. In how many ways can they be seated in a row of six?

Solution

Each boy and each girl is different from each other. Although there are 5 boys, those are 5 different boys, that is.

Thus, we just have 10 distinct objects, taken 6 at a time.

The order of seating matters, so we do permutations.

Thus,

#ways = 10P6 = 151,200 [ANSWER]