There are three sections in a question paper, each containing 5 questions. A candidate has to solve any 5 questions, choosing at least one from each section. Find the number of ways in which the candidate can choose the questions.

Options

A. `""^(15)C_(5)`
B. `""^(3)C_(1)xx""^(12)C_(4)`
C. 2250
D. 2253

Explanation

To solve the problem of how many ways a candidate can choose 5 questions from 3 sections of a question paper, with the condition that at least one question is chosen from each section, we can break it down into manageable steps.

### Step 1: Define the sections and questions
We have 3 sections (let's call them A, B, and C), and each section contains 5 questions. The candidate needs to select a total of 5 questions, ensuring that at least one question comes from each section.

### Step 2: Identify possible distributions of questions
Since the candidate must choose at least one question from each section, we can consider the following distributions of questions across the sections:

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