Question 395491
3 are male and 6 are female student out of 9.


no. of ways to choose 3 positions out of 9 students = 9P3 = 504


A) no. of ways to choose 3 positions out of 6 female = 6P3 = 120

  
 probability of all female members = 120/504 



B)            
 no. of ways to choose 3 positions out of 3 youngest females = 3P3 = 6

  probability   =  6/504



C)no. of ways to choose the youngest girl is president, second younger is secretary and third youngest is treasurer  = 1    


probability = 1/504