There are 15 chocolates be distributed among 3 children subject to condition that child can take any number of chocolates. Find the required number of ways to do this if chocolates are distinct.

$^{17} C_{2}$

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$3^{15}$

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$15^{3}$

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$^{15} C_{3}$

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Solution

The correct option is B
$3^{15}$

We have three children and we want 15 chocolates to be distributed among three children with repetition. Each chocolate can be distributed to three children in 3 ways. So, 15 chocolates can be distributed $= 3 \times 3 \times 3 \times 3 \times 3.........15$ times.

This can be done in $3^{15}$ ways.

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There are 15 chocolates be distributed among 3 children subject to condition that child can take any number of chocolates. Find the required number of ways to do this if chocolates are distinct.

The correct option is B 315 We have three children and we want 15 chocolates to be distributed among three children with repetition. Each chocolate can be distributed to three children in 3 ways. So, 15 chocolates can be distributed =3×3×3×3×3.........15 times. This can be done in 315 ways.