A basket contains three red eight green five blue seven yell

A basket contains three red, eight green, five blue, seven yellow, and four purple eggs. How many ways may the eggs be distributed to eight children, with no restriction on the number of eggs each child receives?

Solution

A basket contains three red, eight green, five blue, seven yellow, and four purple eggs

Total eggs=27

ways may the eggs be distributed to eight children, with no restriction on the number of eggs each child receives=27C8=2220075