1a)Out of the 50 candidates in the question above, 28 are womenand 22 are
men. How many ways can the committee of 12 be randomly chosen where7 members
are women and 5 members are men?
b) In a group of students, each student is taking a mathematicscourse or a
computer science course or both. One-fifth of those taking amathematics course are
also taking a computer science course, and one-sixth of thosetaking a computer science
course are also taking a mathematics course. What percentage of thestudents
are taking a mathematics course?
c) A coin is flipped 10 times. How many outcomes have exactly 3heads?
d) Three committees of 5, 10, and 15 are to be chosen out of atotal of 30. How
many ways can the committee be formed?
