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JEE Advanced Mathematics Permutation Combination 2020 JEE Advanced 2020 (Paper 2)

JEE Advanced Mathematics Question (2020) — Solution

Question

In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons. Then the number of all possible ways in which this can be done is_____

Options

  1. A. A
  2. B. B
  3. C. C
  4. D. D

Answer

A. A

Step-by-step solution

6  persons can be distributed in  4  rooms in the group of  1 , 1 , 2 , 2  by  6 ! 1 ! 1 ! 2 ! 2 ! 2 ! 2 ! × 4 ! = 720 × 24 16 = 1080 .

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