Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 14, 2026

There are four balls of different colours and four boxes of colurs same as those of the balls. The number of ways in which the balls, one in each box, could be placed such that a ball doesn't go to box of its own colour is

A
8
B
7
C
9
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
C

Number of derangement are = 4 !

.

(Since number of derangements in such a problem is given by .

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