Home
Class 12
MATHS
The number of ways of selecting ' n ' th...

The number of ways of selecting ' n ' things out of '3n ' things of which 'n ' are of one kind and alike and 'n ' are of second kind and alike and the rest unlike is :

A

`n2^(n-1)`

B

`(n-1)2^(n-1)`

C

`(n+1)2^(n-1)`

D

`(n+2)2^(n-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|2 Videos

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|3 Videos

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise -5 : Subjective Type problems|12 Videos

Similar Questions

Explore conceptually related problems

The number of ways of selecting one or more things out of n dissimilar things is

The total number of ways of dividing mn things into n equal groups, is

The number of linear permutations of n' things in which there are Plike thing of one kind,g like things of second kinds 'like things of third kind and the rest are different is (n!)/(p!q!r!) The number of ways of arranging the letter of the word ARRANGE so,that.The two R' come together is

The total number of ways in which a selection(one or more) can be made of p+q+r things of which p are all alike, q all alike, r all alike is ( p + 1 ) ( q + 1 ) ( r + 1 )-1 II: The number of permutations of 'n' things taken together when 'p' of the things are alike of one kind, 'q' of them alike of a second kind, 'r' of them alike of a third kind and the rest all different is (n!)/(p!q!r!3!) Which of the above statement is true?

The number of ways in which n things of which r are alike,can be arranged in a circular order, is

The number of combination of 16 things, 8 of which are alike and the rest different, taken 8 at a time is

Prove that the no.of mutually distinguishable permutations of n things; taken all at a time of which p are alike of one kind; q alike of second kind such that p+q=n is (n!)/(p!.q!)

The number of ways in which 4n things can be divided into 4 equal parts is