Question

six women and three men line up at the.check out counter at a store. in how many ways can they line up if we consider only their gender?

Answer 1

Given six women and three men line up at the check out counter at a store.
As only gender is considered, we don't have to distinguish between the people of same gender.
The total number of arrangements = 9!/(6!*3!) (As 3 men and 6 women are alike)
                                                       = 84 ways
Therefore, six women and three men can gather in a line in 84 ways.