Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDivision of Identical itemsEasy2 minPYQ_2024

MathematicsEasysingle choice

The number of ways in which $21$ identical apples can be distributed among three children such that each child gets at least $2$ apples, is

Answer:

Solution:

Let us initially distribute $2$ apples to each children.

So, the remaining $15$ apples are to be distributed such that each children can get any number of apples.

So, the required number of ways will be given by $N = {}^{n + r - 1}C_{r - 1}$ .

$\Rightarrow N = {}^{15 + 3 - 1}C_{2}$

$\Rightarrow N = {}^{17}C_{2}$

$\Rightarrow N = \frac{17 \times 16}{2}$

$\Rightarrow N = 136$

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

⏱ 2mℹ️ Source: PYQ_2024

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