Advanced Math Question

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1

Out of 10 judges , 3 judges are to selected. 

The number of possible panels that include Donald or Hillary will be calculated as follows 

The panel will include Either Donald and not Hillary Or Hillary and not Donald or both 

If Donald is selected and Hillary is not selected, then out of remaining 8 judges two will be selected.

this can be done is 8c2 ways. 

In the same way if Hillary is selected and Donald is not selected , this can be done in 8c2ways.

If both are selected , then 1 more judge need to be selected, this will selected out of remaining 8 judges

This can be done in 8c1 ways 

therefore, total number of ways is 8c2+8c2+8c1

 

 

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