1a)Out of the 50 candidates in the question above, 28 are women and 22 are men....

1a)Out of the 50 candidates in the question above, 28 are women and 22 are
men. How many ways can the committee of 12 be randomly chosen where 7 members
are women and 5 members are men?

b) In a group of students, each student is taking a mathematics course or a
computer science course or both. One-fifth of those taking a mathematics course are
also taking a computer science course, and one-sixth of those taking a computer science
course are also taking a mathematics course. What percentage of the students
are taking a mathematics course?

c) A coin is flipped 10 times. How many outcomes have exactly 3 heads?

d) Three committees of 5, 10, and 15 are to be chosen out of a total of 30. How
many ways can the committee be formed?

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Expert Solution

milcah answered 9 months ago

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