Home
Class 11
MATHS
In the permutations of n things r, taken...

In the permutations of n things r, taken together, the number of permutation in which m perticular things occur together is `""^((n-m))P_((r-m))xx""^rP_m.`

Text Solution

Verified by Experts

The correct Answer is:
`""^((n-m))C_r-mxx (r-m+1)!xx m!`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (MATCHING THE COLUMNS)|5 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (FILLERS)|8 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

Similar Questions

Explore conceptually related problems

Find the number of permutations of n distinct things taken r together, in which 3 parritcular things must occur together.

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182b c , find the value of xdot

The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ……

If the permutations of a, b, c, d, e taken all together be written dowan in alphabetical order as in dictionary and numbered then the rank of the permutation debac, is

Find the number of permutations of letters a ,b ,c ,d ,e ,f,g taken all together if neither beg nor c a d pattern appear.

If n(A) = m and n(B) = n then numbers of function f: A rarr B are m.n .

For n,mepsilonN,n|m means that n is a factor of m then relation | is

Prove that the sum of n arithmatic means between two numbers is n times the single A.M. between them.

In the expansion of (1+a)^m+n , prove that coefficients of a^m and a^n are equal.

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot