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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?

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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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?

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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 n available elements, a group of elements with size r is formed, irrespective of the order of the elements. So the possible no. of combinations is: nCr=n!r! n-r!; n!=1×2×3×..×n; r!=1×2×3×...×r; r≤n.

 

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