In an eleven storied building (Ground floor + ten floor), 9… | CGP Edu

Maths Permutations & Combination Grouping and Circular Permutation Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

In an eleven storied building (Ground floor + ten floor), 9 people enter a lift cabin from ground floor. It is know that they will leave the lift in groups of 2, 3 and 4 at different residential stores. Find the number of ways in which they can get down.

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

Note that in an eleven storeyed building there will be 10 floors and one ground floor

9 people can be divided into groups of 2, 3 and 4 in ways

Now each group can be distributed in ( 10 C 3 . 3!) ways

Thus the required number of ways = ×

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