Question

In how many ways n girls and m boys are arranged alternatively

Answer 1

first arrange any of them either boys or girls

n girls are arranged in n! ways like

      _ G1 _ G2 _ G3 _ ......._ Gn_ So if u arrange n girls in a row u get (n+1) gaps

so m boys can be arranged in (n+1) gaps as (n+1)Pm ways.

so the total result is n!*  (n+1)Pm

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