Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?

A. 15 
B. 35
C. 40
D. 10

🧠 Explanation:

For three gentlemen and three ladies contesting two vacancies, a voter can cast votes in 15 ways (6C2). For math students, this highlights combinatorics, making it a key topic for studying probability, permutations, and problem-solving. Combinations apply to voting systems. Understanding this ensures accurate calculations. It’s essential for mastering combinatorial math in elections or statistics. Studying such problems offers insights into selection processes, crucial for math, statistics, and data science, ensuring precise solutions for analytical scenarios.