Calculating the Ways to Distribute 10 Oranges

• To distribute 10 identical oranges among 3 children from 3 baskets with 7, 6, and 4 oranges respectively, we need to calculate the number of ways this can be done.

Using Combinations to Solve the Problem

• We can solve this problem using combinations, as the oranges are identical and the baskets have different capacities.

• We need to find the number of ways to distribute 10 oranges among the 3 children, considering the constraints of the number of oranges in each basket.

Breaking Down the Problem

• Let's break down the problem into separate cases based on the number of oranges each child receives from each basket.

• We can consider cases where one child receives all the oranges from a particular basket, and the remaining oranges are distributed among the other children.

Applying Combinations

• By applying combinations, we can calculate the number of ways to distribute the oranges in each case.

• We need to consider the total number of ways to distribute the oranges across all the cases to find the final answer.

Calculating the Total Number of Ways

• By summing up the number of ways in each case, we can determine the total number of ways to distribute the 10 oranges among the 3 children.

• This total will give us the answer to the problem of distributing 10 identical oranges among 3 children from baskets with different capacities.

By following the steps outlined above and applying the principles of combinations, we can determine the total number of ways to distribute the 10 oranges among the 3 children from the 3 baskets with 7, 6, and 4 oranges, respectively.