A group of 12 environmentalists comprising of 7 lecturers and 5 technicians are to be selected to form a committee. Find the number of ways of a) Arranging all the 12 environmentalists in a row such that they are always in a group of the same expertise. b) Forming a committee of 5 members with a lecturer as chairman and a technician as secretary.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...
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2. A group of 12 environmentalists comprising of 7 lecturers and 5 technicians are to be selected to form a
committee. Find the number of ways of
a) Arranging all the 12 environmentalists in a row such that they are always in a group of the same
expertise.
b) Forming a committee of 5 members with a lecturer as chairman and a technician as secretary.
Transcribed Image Text:2. A group of 12 environmentalists comprising of 7 lecturers and 5 technicians are to be selected to form a committee. Find the number of ways of a) Arranging all the 12 environmentalists in a row such that they are always in a group of the same expertise. b) Forming a committee of 5 members with a lecturer as chairman and a technician as secretary.
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