A bag contains tickets numbered 1 to 30. Three tickets are drawn at random from the bag. What is the probability that the maximum number on the selected tickets exceeds 25?

Explanation

To solve the problem, we need to find the probability that the maximum number on the selected tickets exceeds 25 when three tickets are drawn from a bag containing tickets numbered from 1 to 30.

### Step 1: Calculate the total number of ways to draw 3 tickets from 30 tickets.
The total number of ways to choose 3 tickets from 30 can be calculated using the combination formula:

\[ \text{Total ways} = \binom{n}{r} = \frac{n!}{r!(n - r)!} \]
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