A financial services committee had 60 ​members, of which 8 were women. If 7 members are selected at​ random, find the probability that the group of 7 would be composed as the following.
a. 4 men and 3 women (a. The probability that the group will consist of 4 men and 3 women is ____.) ​(Round to four decimal places as​ needed.)
b. 5 men and 2 women (b. The probability that the group will consist of 5 men and 2 women is ____.) ​(Round to four decimal places as​ needed.)
c. at least one woman (c. The probability that the group will consist of at least 1 woman is ____.) ​(Round to four decimal places as​ needed.)