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in those 10 balls we can have any combination...I am using here multinomial...

X=No. of red balls(0,1...10)

y=No. of green balls(0,1...10)

z=No. of white balls(0,1...10)

we need co-efficient of x^10 in (x^0+x^1+...+x^10)^3

that is (10+3-1)C3=12C3

Arrangement is also considered here

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Q: How many ways are there to select 10 balls from unlimited nunber of red white blue and green balls?
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