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  4. The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green and 6 alike red balls is

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Q. The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green and 6 alike red balls is

Permutations and Combinations

Solution:

Treat W, B, G, R as beggar $000000 \emptyset \emptyset \emptyset={ }^9 C _3=84$
or co-eff. of $x^6$ in $\left(1+x+x^2+x^3+x^4+x^5+x^6\right)^4$