JEE Main 2024 Mathematics question
If n is the number of ways five different employees can sit into four indistinguishable offices where any office may have any number of persons including zero, then n is equal to:
Answer: (D)
Solution
Partitions of 5 labelled people into at most 4 blocks: S(5,1) + S(5,2) + S(5,3) + S(5,4) = 1 + 15 + 25 + 10 = 51.