Question

What is the total number of various combinations of room-mates possible, which satisfy all the conditions mentioned?

• A. 2
• B. 3
• C. 4
• D. 5

Hint:

In grouping puzzles, count unique valid partitions rather than just valid groups. Double-check for hidden constraints like mutual exclusivity.

Answer 1

The Correct Option is C

Step 1: Total ways to divide 7 people into 4+3 groups
We want to divide the group of 7 into two rooms — one with 4 people, the other with 3 — such that: - No room contains both Bengali and Tamil speakers. - Every participant shares a common language with at least one other roommate. Step 2: Use logic tree and check each case
After working through all language constraints and mutual compatibility, there are exactly 4 such valid combinations that respect: - Language sharing - No Bengali-Tamilian mix - Group of 4 + 3