Example 9: A department has 30 different possible committees are there? members
ID: 2931141 • Letter: E
Question
Example 9: A department has 30 different possible committees are there? members and a committee of 5 people is needed to carry out a task How many Example 1O: A department has 30 members and a committee is needed to carry out a task. The committee is to be composed of a chairperson and four members. How many different possible committees are there? HINT: N (committees) - the number of ways to choose a chairperson x number of ways to choose 4 members out of 29 Example 11: A department has 30 members and a committee is needed to carry out a task The committee is to be composed of two co-chairpersons and three members. How many different possible committees are there? Example 12 In how many ways can 8 people be selected from 10 volunteers for a drug study?Explanation / Answer
9) The order doesnt matter.
This is a combination problem, nck = n!/(n-k!)*k!
30C5 = 30!/[25!*5!] = 142506 ways
10) Number of ways of choosing a chairperson = 30C1 = 30
Number of ways of chossing 4 members = 29C4
Total ways = 30C1 * 29C4 = 712530
11)
Number of ways of choosing a chairperson = 30C2 = 435
Number of ways of chossing 4 members = 28C3
Total ways = 30C2 * 28C3 = 1425060
12) 10C8 = 10!/2!8! = 45
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