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In an experiment, n six-faced normal dic...

In an experiment, n six-faced normal dice are thrown. Find the number of sets of observations which are indistinguishable among themselves.

Text Solution

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Let number I be obtained `x_(i)` number of times.
So, we have `x_(1)+x_(2)+x_(3)+x_(4)+x_(5)+x_(6)=n`, where `x_(i) ge 0`.
Hence, required number
= Number of non-negative integration solutions of above equation
`=.^(n+6-1)C_(6-1)`
`=.(n+5)C_(5)`
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