The G20 (or Group of Twenty) is an international economic forum for the governments of 19 countries and the European Union. The European Union is itself a block of 28 nations that are located primarily in Europe. How many ways are there to select 11 countries in the G20 to serve on an economic council if 6 are selected from among the 19 member nations not belonging to the European Union and the others are selected from the remaining 28 member nations (those belonging to the European Union)?
Population:
Nations belonging to European Union = 28
Nations not belonging to European Union = 19
Total number of nations = 47
Sample:
Nations belonging to European Union = 5
Nations not belonging to European Union = 6
Total number of nations = 11
Number of ways of selecting 5 Nations belonging to European Union from 28 Nations belonging to European Union is given by:
Number of ways of selecting 6 Nations not belonging to European Union from 19 Nations not belonging to European Union is given by:
So,
Number of ways are there to select 11 countries in the G20 to serve on an economic council = 98280 X 27132 = 2666532960
So,
Answer is:
2666532960
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