Question

In how many ways 10 identical balls be distributed among 5 kids such that all of them get atleast 1 ball and no one receives more than 4 balls

Answer 1

Answer:

Give 2 to each

Answer 2

Complete Question:

The number of ways in which five identical balls can be distributed among ten kids such that no kid gets more than one ball is

Answer:

The number of ways in which five identical balls can be distributed among ten kids such that no kid gets more than one ball is 252

Explanation:

Given:

The total number of identical balls i.e. 5

Number of kids = 10

To Find:

Number of distribution ways

Condition:
No kid obtains more than 1 ball

Chapter:

Premutation and Combination

Solution:

We have 10 distinct kids and 5 identical balls. Since the condition is no one gets more than 1 ball

Hence, Five balls can be distributed to 10 kids in:
Number of distribution ways = $^{10}C_5$

$^{10}C_5 = \frac{10!}{5!.5!}$

Upon solving the given condition

Conclusion:

The number of ways in which five identical balls can be distributed among ten kids such that no kid gets more than one ball is 252

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