### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Permutation

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A permutation is an arrangement in a definite order of a number of objects taken some or all at a time. The number of permutations of ‘ ’ different objects taken ‘ ’ at a time, where and the objects do not repeat in which is denoted by i.e . Number of permutation of ‘ ’ distinct things take all at a time .   is also denoted as . Number of permutation of ‘ ’ distinct things taken ‘ ’ at a time when repetition is allowed . Number of permutations of ‘ ’ objects where are of one kind, ‘ ’ of second kind  and ‘ ’ are of kind s-t i.e . Number of circular permutation of ‘ ’ objects taken all at a time  Number of circular permutation of ‘ ’ objects taken ‘ ’ at a time . If clockwise and anticklockwise arrangements are identical then the number of circular permutation of ‘ ’ objects taken all at a time . No. of permutations when particular thing is included . No. of permutations when particular thing is not included .   . . Factorials of negative intergrs are not defined. . No. of permutation when ‘ ’ particular things are together . No. of permutation when ‘ ’ particular things are identical .

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