How many different ways are there to select a group of 8 out of 10 people for a group project in which there are no distinct roles?
How many different ways are there to select a group of 8 out of 10 people for a group project in which there are no distinct roles?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 4SC
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How many different ways are there to select a group of 8 out of 10 people for a group project in which there are no distinct roles?
Expert Solution
Step 1
Considering the distinct roles do not matter, i.e., the order of the selected people in a group of 8 does not matter, the combination is to be used for obtaining the no. of ways to select a group of 8 people from the available 10 people.
From available elements, a group of elements with size is formed, irrespective of the order of the elements. So the possible no. of combinations is: .
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