There are 5 identical red balls, 6 identical green balls, 7 identical black balls and 8 identical white balls, the number of ways of selecting five balls from them is

no. of ways of selecting any kind of 5 balls from above set of balls is :

26C5 ways

no. of ways of selecting 5 balls such that 4 balls of each kind and other of any kind is :

5C1*6C1*7C2*8C1 +  5C1*6C1*7C1*8C2 + 5C2*6C1*7C1*8C1 + 5C1*6C2*7C1*8C1 ways

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regards

Ramesh