Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.
Permutations and Combinations
Distribution of Distinct Objects, Inclusion-Exclusion
jee_adv_2026_mock_p2
Grade 12
Question:
The number of ways in which 6 distinct books can be distributed among 3 students such that each student gets at least one book is N. Find N/30.
Step-by-Step Solution
Key Concept: Use inclusion-exclusion principle for distribution of distinct objects.
Step 1: Total ways to distribute 6 distinct books among 3 distinct students = 3^6 = 729. Step 2: Ways with at least one student getting no books = 3*2^6 - 3*1^6 = 192 - 3 = 189. Step 3: Ways with no empty = 729 - 189 = 540. N = 540. N/30 = 18.
Correct Answer:18
Mathbee AI Mentor (Free Demo)
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.
Master Permutations and Combinations with Mathbee
Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.