doubt....plz clear it

A permutation of n objects is a 1-1 function from A={1,2,.................n} to itself.If a1,a2,a3.......ak are n distinct elements of A such that a function f sends a1 to a2,a2 to a3 , .......... ak-1- to ak and ak to a1, then a1,a2,..ak are said to form a cycle of length k. A permutaiton is chosen randomly from set of all permutations of set A={1,2,....n}

Q1 The probablity that chosen permuttion is a cycle such that 1-->2-->3-->...........(n-1)-->1 ??

Q2 Let a1,a2,...ak ,b1,b2...bk ε A be such that ai 's are distinct and bj 's are distinct.The

probablity that chosen permutation sends ai -------> bi for i=1,2,........k

7 Answers

62
Lokesh Verma ·

I feel a bit sad when people (I mean the question setters) directly copy funda from higher maths or physics just to create tough looking questions..

THis is a rip off of Permutation groups!

If i am awake... and thinking already..

1) I din read this part carefully..
we want 1->2>3.. >n-1>1
so there is only one permutation that does that.
total there are n! permutations.
so the answer will be 1/n!

2) (n-2k)! / n!

is this the answer?

1
chemistry organic ·

nishant bhai garland mein (n-1)!/2 hota hai naa?

1
chemistry organic ·

simple circular mein (n-1)! hota hai

62
Lokesh Verma ·

yes ..

I should have used the word circular.. not garland..

1
chemistry organic ·

i can call u "bhai" naa?? typing bhaiya takes 1s more.

just tryin to save time

62
Lokesh Verma ·

haha.. sure :)

24
eureka123 ·

sir Q1 ka ans mera bhi vai aa raha hai........par book mein answer 0 hai[11][7]

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