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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationGroup formationMedium2 minQB

MathematicsMediumsingle choice

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty ?

Options:

Answer:

Solution:

$\overline{3} \overline{1} \overline{1}^{5} C_{3} \cdot^{2} C_{1} \cdot^{1} C_{1} (\frac{3 !}{2 !}) 221^{5} C_{2} \cdot^{3} C_{2} \cdot^{1} C_{1} (\frac{3 !}{2 !})$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Group formation

⏱ 2mℹ️ Source: QB

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