**Solution:**

To solve this problem, we can use the concept of distributing identical objects among distinct containers. In this case, the identical presents are being distributed among the six children.

**Step 1: Understand the problem**
We have ten identical presents that need to be distributed among six children. Each child should receive one present. We need to find the number of ways this can be done.

**Step 2: Applying the concept**
Since the presents are identical and each child should receive one present, we can think of this problem as distributing the presents into six distinct containers (one for each child). The number of ways to distribute the presents can be found using combinations.

**Step 3: Applying combinations**
The formula for combinations is given by nCr, where n is the total number of objects and r is the number of objects in each combination.

In this case, we have ten presents and we want to distribute them among six children, so we can calculate the number of ways using the combination formula:

nCr = n! / (r! * (n-r)!)

Here, n = 10 (total number of presents) and r = 6 (number of children).

Plugging in the values:

9C5 = 9! / (5! * (9-5)!)
= 9! / (5! * 4!)
= (9 * 8 * 7 * 6 * 5!) / (5! * 4 * 3 * 2 * 1)
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 126

Therefore, there are 126 ways to distribute the ten identical presents among six children so that each child receives one present.