In an examination, the maximum mark for each of the three papers is 50 and the maximum mark for the fourth paper is 100. Find the number of ways in which the candidate can score 605 marks in aggregate.

Explanation

To solve the problem of finding the number of ways a candidate can score 605 marks in aggregate from four papers, we will follow these steps:

### Step 1: Define the Variables
Let the marks scored in the four papers be represented as:
- \( x_1 \): marks in paper 1
- \( x_2 \): marks in paper 2
- \( x_3 \): marks in paper 3
- \( x_4 \): marks in paper 4
...