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MathsMediumNumerical2023 ยท 11 Apr Shift 1

Q82.In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is

What This Question Tests

This problem directly tests the concept of derangements, which is the number of permutations where no element appears in its original position.

Concepts Tested

DerangementsPrinciple of inclusion-exclusion

Formulas Used

D_n = n! [1/0! - 1/1! + 1/2! - ... + (-1)โฟ/n!]

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Derangements
Year
2023
Shift
11 Apr Shift 1
Q Number
Q82
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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