Question 713525
total  no  of ways in which we can select a committee of 5 members from the group of 6 men and 5 women  = 11 c 5
                   = 462
 no  of ways in which we can select a committee of 5 members from the group of 6 men   = 6 c 5   = 6
 the probability that all the members are men   = 6/642
                                                 = 1/107



total  no  of ways in which we can select a committee of 2 men + 3 women  from the group of 6 men and 5 women      = 6c2 * 5c3
                                = 15  * 10
                                 =150  
he probability that the committee consist of   2 men & 3 women  = 150/642
                                                                 = 25/107