**Solution:**

To arrange the cells in a mixed combination to send maximum current through a given resistance, we need to consider the concept of internal resistance and the principle of maximum power transfer.

**Internal Resistance:**

Each cell has an internal resistance, which is given as 1/10th of the given resistance. Let's denote the given resistance as R and the internal resistance of each cell as r.

Therefore, the internal resistance of each cell is r = R/10.

**Maximum Power Transfer:**

According to the principle of maximum power transfer, the maximum power is transferred from a source to a load when the internal resistance of the source is equal to the resistance of the load.

In this case, the load is the given resistance R. So, we need to arrange the cells in such a way that the total internal resistance of the combination is equal to the given resistance R.

**Arranging the Cells:**

Let's consider the number of cells to be arranged as N.

Since the internal resistance of each cell is r = R/10, the total internal resistance of N cells can be calculated as:

Total internal resistance = N * (R/10) = NR/10

To achieve maximum current through the given resistance R, we need to make the total internal resistance equal to R.

NR/10 = R

Simplifying the equation, we get:

N = 10

Therefore, we need to arrange exactly 10 cells in the mixed combination.

**Explanation:**

By arranging 10 cells in a mixed combination, each with an internal resistance of 1/10th of the given resistance, the total internal resistance of the combination becomes equal to the given resistance. This is the condition for maximum power transfer.

When the internal resistance of the combination is equal to the given resistance, the maximum power is transferred from the cells to the load, resulting in maximum current flowing through the given resistance.

Hence, by arranging 10 cells in a mixed combination, we can achieve maximum current through the given resistance.