(a) How many committees can be formed? (b) How many committees can be formed with at least 2 men? (c) Suppose one member in the committee has to be appointed as Head of the committee. Then, how many committees are possible?

College Algebra
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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There are 8 men and 7 women employed in an office from whom a selection committee of 4 has to be formed in
order to select a new employee.
(a) How many committees can be formed?
(b) How many committees can be formed with at least 2 men?
(c) Suppose one member in the committee has to be appointed as Head of the committee. Then, how many
committees are possible?
Transcribed Image Text:There are 8 men and 7 women employed in an office from whom a selection committee of 4 has to be formed in order to select a new employee. (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men? (c) Suppose one member in the committee has to be appointed as Head of the committee. Then, how many committees are possible?
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