A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are drawn at random and arranged in ascending order of magnitude `(x_1ltx_2ltx_3ltx_4ltx_5)` find the probability that`x_3=30.`

Explanation

To solve the problem, we need to find the probability that \( x_3 = 30 \) when five tickets are drawn from a bag containing tickets numbered from 1 to 50, and these tickets are arranged in ascending order.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We have tickets numbered from 1 to 50.
- We draw 5 tickets and arrange them in ascending order: \( x_1 < x_2 < x_3 < x_4 < x_5 \).
- We want to find the probability that \( x_3 = 30 \).
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