Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDivision of Identical itemsEasy2 minQB

MathematicsEasysingle choice

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

Answer:

Solution:

Let the number of balls in the 3 boxes be $z, y, z$ respectively, then $x + y + z = 8, x, y, z \geq 1$

∴ Required number $^{n + r - 1} C_{7} =^{3 + 3 - 1} C_{5} =^{7} C_{5} =^{7} C_{2} = 21$ .

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Division of Identical items

⏱ 2mℹ️ Source: QB

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