four person are choosen at random from a group of 3 mens, 2 womens, &4 childrens. find the probability of selecting exactly 2 children?

Dear neil hans

number of ways in which 4 person can be choosen =⁹C₄

number of ways in which exactlt two children are choosen =⁴C₂ *⁵C₂

Probablity =⁴C₂ *⁵C_{2  /}⁹C₄

               =6*10/126

                =10/21