The number of ways of distributing 8 identica | vedclass

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(A) To distribute $n$ identical items among $r$ distinct recipients such that each recipient gets at least $1$ item,we use the stars and bars method (

Vedclass · Accepted Answer

$21$

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(A) To distribute $n$ identical items among $r$ distinct recipients such that each recipient gets at least $1$ item,we use the stars and bars method (or the formula for positive integer solutions to $x_1 + x_2 + \dots + x_r = n$).Here,$n = 8$ and $r = 3$.The number of ways is given by the formula $\binom{n-1}{r-1}$.Substituting the values,we get $\binom{8-1}{3-1} = \binom{7}{2}$.$\binom{7}{2} = \frac{7 	imes 6}{2 	imes 1} = 21$.

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