Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDivision of Identical itemsEasy2 minQB

MathematicsEasysingle choice

Four boys picked 30 apples. The number of ways in which they can divide them if all the apples are identical, is

Answer:

Solution:

We know, the number of ways to divide n identical things among r persons $=^{n + γ - 1} C_{γ - 1}$ Here $n = 30, r = 4$

$∴ Required number of ways =^{30 + 4 - 1} C_{4 - 1} =^{33} C_{3} = \frac{33 \times 32 \times 31}{3 \times 2} = 5456 .$

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

⏱ 2mℹ️ Source: QB

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