A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. The probability that exactly three balls are common to the tow draw on is `p ,` then the value of `12 p` is ______.

Explanation

To solve the problem, we need to find the probability \( p \) that exactly 3 balls are common between the first draw of 5 balls and the second draw of 7 balls from a bag containing 10 different balls. We will then calculate \( 12p \).

### Step-by-Step Solution:

1. **Total Outcomes for the Second Draw**:
The total number of ways to choose 7 balls from 10 different balls is given by the combination formula:
\[
\text{Total Outcomes} = \binom{10}{7}
...